Altitude of Right Angled Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
h' = (h*B)/sqrt(h^2+B^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Altitude of Right Angled Triangle - (Measured in Meter) - The Altitude of Right Angled Triangle is the length of the vertical distance from the hypotenuse to the vertex formed by joining the base and height of the Right Angled Triangle.
Height of Right Angled Triangle - (Measured in Meter) - The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.
Base of Right Angled Triangle - (Measured in Meter) - The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.
STEP 1: Convert Input(s) to Base Unit
Height of Right Angled Triangle: 8 Meter --> 8 Meter No Conversion Required
Base of Right Angled Triangle: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h' = (h*B)/sqrt(h^2+B^2) --> (8*15)/sqrt(8^2+15^2)
Evaluating ... ...
h' = 7.05882352941176
STEP 3: Convert Result to Output's Unit
7.05882352941176 Meter --> No Conversion Required
FINAL ANSWER
7.05882352941176 7.058824 Meter <-- Altitude of Right Angled Triangle
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Walchand College of Engineering (WCE), Sangli
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2 Altitude of Right Angled Triangle Calculators

Altitude of Right Angled Triangle
Go Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Altitude of Right Angled Triangle given Area and Hypotenuse
Go Altitude of Right Angled Triangle = 2*Area of Right Angled Triangle/Hypotenuse of Right Angled Triangle

14 Important Formulas of Right Angled Triangle Calculators

Median Line on Hypotenuse of Right Angled Triangle
Go Median on Hypotenuse of Right Angled Triangle = sqrt(2*(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Height of Right Angled Triangle^2-Base of Right Angled Triangle^2)/2
Inradius of Right Angled Triangle
Go Inradius of Right Angled Triangle = (Height of Right Angled Triangle+Base of Right Angled Triangle-sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
Altitude of Right Angled Triangle
Go Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Perimeter of Right Angled Triangle
Go Perimeter of Right Angled Triangle = Height of Right Angled Triangle+Base of Right Angled Triangle+sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Median Line on Height of Right Angled Triangle
Go Median on Height of Right Angled Triangle = sqrt(2*(2*Base of Right Angled Triangle^2+Height of Right Angled Triangle^2)-Height of Right Angled Triangle^2)/2
Median Line on Base of Right Angled Triangle
Go Median on Base of Right Angled Triangle = sqrt(2*(2*Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Base of Right Angled Triangle^2)/2
Perimeter of Right Angled Triangle given Hypotenuse, Circumradius and Inradius
Go Perimeter of Right Angled Triangle = 2*Inradius of Right Angled Triangle+Hypotenuse of Right Angled Triangle+2*Circumradius of Right Angled Triangle
Perimeter of Right Angled Triangle given Sides
Go Perimeter of Right Angled Triangle = Height of Right Angled Triangle+Base of Right Angled Triangle+Hypotenuse of Right Angled Triangle
Circumradius of Right Angled Triangle given Sides
Go Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
Hypotenuse of Right Angled Triangle
Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
Height of Right Angled Triangle
Go Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)
Base of Right Angled Triangle
Go Base of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Height of Right Angled Triangle^2)
Area of Right Angled Triangle
Go Area of Right Angled Triangle = (Base of Right Angled Triangle*Height of Right Angled Triangle)/2
Circumradius of Right Angled Triangle
Go Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2

Altitude of Right Angled Triangle Formula

Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
h' = (h*B)/sqrt(h^2+B^2)

What is Right-Angled Triangle?

A Right Triangle or Right-Angled Triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse.

How to Calculate Altitude of Right Angled Triangle?

Altitude of Right Angled Triangle calculator uses Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2) to calculate the Altitude of Right Angled Triangle, The Altitude of Right Angled Triangle formula is defined as the distance of the perpendicular line from the vertex to the hypotenuse of the Right Angled Triangle, calculated using the sides of Right Angled Triangle. Altitude of Right Angled Triangle is denoted by h' symbol.

How to calculate Altitude of Right Angled Triangle using this online calculator? To use this online calculator for Altitude of Right Angled Triangle, enter Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B) and hit the calculate button. Here is how the Altitude of Right Angled Triangle calculation can be explained with given input values -> 7.058824 = (8*15)/sqrt(8^2+15^2).

FAQ

What is Altitude of Right Angled Triangle?
The Altitude of Right Angled Triangle formula is defined as the distance of the perpendicular line from the vertex to the hypotenuse of the Right Angled Triangle, calculated using the sides of Right Angled Triangle and is represented as h' = (h*B)/sqrt(h^2+B^2) or Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2). The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base & The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.
How to calculate Altitude of Right Angled Triangle?
The Altitude of Right Angled Triangle formula is defined as the distance of the perpendicular line from the vertex to the hypotenuse of the Right Angled Triangle, calculated using the sides of Right Angled Triangle is calculated using Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2). To calculate Altitude of Right Angled Triangle, you need Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B). With our tool, you need to enter the respective value for Height of Right Angled Triangle & Base of Right Angled Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Altitude of Right Angled Triangle?
In this formula, Altitude of Right Angled Triangle uses Height of Right Angled Triangle & Base of Right Angled Triangle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Altitude of Right Angled Triangle = 2*Area of Right Angled Triangle/Hypotenuse of Right Angled Triangle
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