Height of Isosceles Triangle from Vertex Calculator

✖The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.ⓘ Legs of Isosceles Triangle [S_Legs]			+10% -10%
✖Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.ⓘ Base of Isosceles Triangle [S_Base]			+10% -10%

✖The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.ⓘ Height of Isosceles Triangle from Vertex [h]

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Formula

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Height of Isosceles Triangle from Vertex

Formula

`"h" = sqrt("S"_{"Legs"}^2-"S"_{"Base"}^2/4)`

Example

`"8.485281m"=sqrt(("9m")^2-("6m")^2/4)`

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Download Isosceles Triangle Formula PDF

Height of Isosceles Triangle from Vertex Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)
h = sqrt(S_Legs^2-S_Base^2/4)
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

Height of Isosceles Triangle - (Measured in Meter) - The Height of Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex.
Legs of Isosceles Triangle - (Measured in Meter) - The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.
Base of Isosceles Triangle - (Measured in Meter) - Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

STEP 1: Convert Input(s) to Base Unit

Legs of Isosceles Triangle: 9 Meter --> 9 Meter No Conversion Required
Base of Isosceles Triangle: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(S_Legs^2-S_Base^2/4) --> sqrt(9^2-6^2/4)

Evaluating ... ...

h = 8.48528137423857

STEP 3: Convert Result to Output's Unit

8.48528137423857 Meter --> No Conversion Required

FINAL ANSWER

8.48528137423857 ≈ 8.485281 Meter <-- Height of Isosceles Triangle

(Calculation completed in 00.005 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Isosceles Triangle » Height and Median of Isosceles Triangle » Height of Isosceles Triangle from Vertex

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< 2 Height and Median of Isosceles Triangle Calculators

Median of Isosceles Triangle from Vertex

Go Median of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)/2

Height of Isosceles Triangle from Vertex

Go Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)

< 6 Other Formulas of Isosceles Triangle Calculators

Length of Angle Bisector of Angle between Legs and Base

Go Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle)

Base of Isosceles Triangle given Legs and Circumradius

Go Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)

Median of Isosceles Triangle from Vertex

Go Median of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)/2

Height of Isosceles Triangle from Vertex

Go Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)

Base Angles of Isosceles Triangle given Vertex Angle

Go Base Angles of Isosceles Triangle = (pi-Vertex Angle of Isosceles Triangle)/2

Angles of Bisector of Isosceles Triangle at Vertex

Go Angles of Bisector of Isosceles Triangle = Vertex Angle of Isosceles Triangle/2

Height of Isosceles Triangle from Vertex Formula

Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)
h = sqrt(S_Legs^2-S_Base^2/4)

What is an Isosceles Triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

What is altitude of an isosceles triangle and how it is calculated ?

An altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). Its formula is h = √a^2-b^2/4 where h is the altitude of the Isosceles triangle and a & b are the sides of the isosceles triangle.

How to Calculate Height of Isosceles Triangle from Vertex?

Height of Isosceles Triangle from Vertex calculator uses Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4) to calculate the Height of Isosceles Triangle, The Height of Isosceles Triangle from Vertex formula is defined as the perpendicular distance from the base to the opposite vertex of the Isosceles Triangle. Height of Isosceles Triangle is denoted by h symbol.

How to calculate Height of Isosceles Triangle from Vertex using this online calculator? To use this online calculator for Height of Isosceles Triangle from Vertex, enter Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base) and hit the calculate button. Here is how the Height of Isosceles Triangle from Vertex calculation can be explained with given input values -> 8.485281 = sqrt(9^2-6^2/4).

FAQ

What is Height of Isosceles Triangle from Vertex?

The Height of Isosceles Triangle from Vertex formula is defined as the perpendicular distance from the base to the opposite vertex of the Isosceles Triangle and is represented as h = sqrt(S_Legs^2-S_Base^2/4) or Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4). The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle & Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

How to calculate Height of Isosceles Triangle from Vertex?

The Height of Isosceles Triangle from Vertex formula is defined as the perpendicular distance from the base to the opposite vertex of the Isosceles Triangle is calculated using Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4). To calculate Height of Isosceles Triangle from Vertex, you need Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base). With our tool, you need to enter the respective value for Legs of Isosceles Triangle & Base of Isosceles Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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