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Roof Height of House Shape Calculator

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✖A Roof Side of House Shape is the length of the side of a House shape, that extends past the exterior wall line at the bottom of a slope.ⓘ Roof Side of House Shape [S_Roof]			+10% -10%
✖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%

✖The roof height of House shape means the vertical distance between the highest point of the roof and the average finished grade of the front lot line.ⓘ Roof Height of House Shape [h_Roof]

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Roof Height of House Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Roof Height of House Shape - (Measured in Meter) - The roof height of House shape means the vertical distance between the highest point of the roof and the average finished grade of the front lot line.
Roof Side of House Shape - (Measured in Meter) - A Roof Side of House Shape is the length of the side of a House shape, that extends past the exterior wall line at the bottom of a slope.
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.

STEP 1: Convert Input(s) to Base Unit

Roof Side of House Shape: 8 Meter --> 8 Meter No Conversion Required
Base Length of House Shape: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Roof = sqrt(((4*S_Roof^2)-l_Base^2)/4) --> sqrt(((4*8^2)-15^2)/4)

Evaluating ... ...

h_Roof = 2.78388218141501

STEP 3: Convert Result to Output's Unit

2.78388218141501 Meter --> No Conversion Required

FINAL ANSWER

2.78388218141501 ≈ 2.783882 Meter <-- Roof Height of House Shape

(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar

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

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Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< House Shape Calculators

Base Length of House Shape given Perimeter

LaTeX 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

LaTeX 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

LaTeX 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

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

Roof Height of House Shape Formula

LaTeX Go

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

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 Roof Height of House Shape?

Roof Height of House Shape calculator uses Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4) to calculate the Roof Height of House Shape, The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length. Roof Height of House Shape is denoted by h_Roof symbol.

How to calculate Roof Height of House Shape using this online calculator? To use this online calculator for Roof Height of House Shape, enter Roof Side of House Shape (S_Roof) & Base Length of House Shape (l_Base) and hit the calculate button. Here is how the Roof Height of House Shape calculation can be explained with given input values -> 2.783882 = sqrt(((4*8^2)-15^2)/4).

FAQ

What is Roof Height of House Shape?

The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length and is represented as h_Roof = sqrt(((4*S_Roof^2)-l_Base^2)/4) or Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). A Roof Side of House Shape is the length of the side of a House shape, that extends past the exterior wall line at the bottom of a slope & The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.

How to calculate Roof Height of House Shape?

The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length is calculated using Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). To calculate Roof Height of House Shape, you need Roof Side of House Shape (S_Roof) & Base Length of House Shape (l_Base). With our tool, you need to enter the respective value for Roof Side of House Shape & Base Length 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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