Diagonal of Rectangle of House Shape Calculator

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✖The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.ⓘ Base Length of House Shape [l_Base]			+10% -10%
✖Wall Height of House Shape is the maximum vertical distance between the finished floor level and the finished wall height directly above.ⓘ Wall Height of House Shape [h_Wall]			+10% -10%

✖A Diagonal of Rectangle of House shape is a straight line joining two opposite corners of the square of House shape.ⓘ Diagonal of Rectangle of House Shape [d_Rectangle]

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Formula

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Diagonal of Rectangle of House Shape

Formula

`"d"_{"Rectangle"} = sqrt("l"_{"Base"}^2+"h"_{"Wall"}^2)`

Example

`"18.02776m"=sqrt(("15m")^2+("10m")^2)`

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Download House Shape Formulas PDF

Diagonal of Rectangle of House Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2)
d_Rectangle = sqrt(l_Base^2+h_Wall^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

Diagonal of Rectangle of House Shape - (Measured in Meter) - A Diagonal of Rectangle of House shape is a straight line joining two opposite corners of the square of House shape.
Base Length of House Shape - (Measured in Meter) - The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.
Wall Height of House Shape - (Measured in Meter) - Wall Height of House Shape is the maximum vertical distance between the finished floor level and the finished wall height directly above.

STEP 1: Convert Input(s) to Base Unit

Base Length of House Shape: 15 Meter --> 15 Meter No Conversion Required
Wall Height of House Shape: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Rectangle = sqrt(l_Base^2+h_Wall^2) --> sqrt(15^2+10^2)

Evaluating ... ...

d_Rectangle = 18.0277563773199

STEP 3: Convert Result to Output's Unit

18.0277563773199 Meter --> No Conversion Required

FINAL ANSWER

18.0277563773199 ≈ 18.02776 Meter <-- Diagonal of Rectangle of House Shape

(Calculation completed in 00.004 seconds)

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Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< 10+ House Shape Calculators

Area of House Shape

Go Area of House Shape = (Base Length of House Shape*Wall Height of House Shape)+(Roof Height of House Shape*Base Length of House Shape/2)

Base Length of House Shape given Perimeter

Go Base Length of House Shape = Perimeter of House Shape-(2*Wall Height of House Shape)-(2*Roof Side of House Shape)

Wall Height of House Shape given Perimeter

Go Wall Height of House Shape = (Perimeter of House Shape-Base Length of House Shape-(2*Roof Side of House Shape))/2

Roof Side of House Shape given Perimeter

Go Roof Side of House Shape = (Perimeter of House Shape-Base Length of House Shape-(2*Wall Height of House Shape))/2

Perimeter of House Shape

Go Perimeter of House Shape = Base Length of House Shape+(2*Wall Height of House Shape)+(2*Roof Side of House Shape)

Diagonal of Rectangle of House Shape

Go Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2)

Roof Height of House Shape

Go Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4)

Slope of House Shape

Go Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape))

Diagonal of House Shape

Go Diagonal of House Shape = sqrt((Base Length of House Shape/2)^2+Height of House Shape^2)

Height of House Shape

Go Height of House Shape = Roof Height of House Shape+Wall Height of House Shape

Diagonal of Rectangle of House Shape Formula

Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2)
d_Rectangle = sqrt(l_Base^2+h_Wall^2)

What is House Shape?

The House Shape is basically a pentagon, which has one base line, that seems to be the basement of a house. One pair of equal sides which are opposite to each other and are perpendicular to the base line. Those seem to be the walls of the house. And two equal sides complete the pentagonal shape, those seem to be the roof of the house. Mathematically, the House shape is formed by joining a rectangle of which length is the base line and an isosceles triangle of which unequal side coincide with the length of a rectangle.

How to Calculate Diagonal of Rectangle of House Shape?

Diagonal of Rectangle of House Shape calculator uses Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2) to calculate the Diagonal of Rectangle of House Shape, The Diagonal of Rectangle of House Shape formula is defined as the line segment or straight line that connects the opposite corner or vertex of the rectangle. A rectangle has two diagonals and each is of the same length. Diagonal of Rectangle of House Shape is denoted by d_Rectangle symbol.

How to calculate Diagonal of Rectangle of House Shape using this online calculator? To use this online calculator for Diagonal of Rectangle of House Shape, enter Base Length of House Shape (l_Base) & Wall Height of House Shape (h_Wall) and hit the calculate button. Here is how the Diagonal of Rectangle of House Shape calculation can be explained with given input values -> 18.02776 = sqrt(15^2+10^2).

FAQ

What is Diagonal of Rectangle of House Shape?

The Diagonal of Rectangle of House Shape formula is defined as the line segment or straight line that connects the opposite corner or vertex of the rectangle. A rectangle has two diagonals and each is of the same length and is represented as d_Rectangle = sqrt(l_Base^2+h_Wall^2) or Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2). The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end & Wall Height of House Shape is the maximum vertical distance between the finished floor level and the finished wall height directly above.

How to calculate Diagonal of Rectangle of House Shape?

The Diagonal of Rectangle of House Shape formula is defined as the line segment or straight line that connects the opposite corner or vertex of the rectangle. A rectangle has two diagonals and each is of the same length is calculated using Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2). To calculate Diagonal of Rectangle of House Shape, you need Base Length of House Shape (l_Base) & Wall Height of House Shape (h_Wall). With our tool, you need to enter the respective value for Base Length of House Shape & Wall Height of House Shape 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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