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Roof Height of House Shape Formula

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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. Check FAQs

h Roof = \sqrt{\frac{(4 \cdot {S Roof}^{2}) - {l Base}^{2}}{4}}

h_Roof - Roof Height of House Shape?S_Roof - Roof Side of House Shape?l_Base - Base Length of House Shape?

Roof Height of House Shape Example

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Here is how the Roof Height of House Shape equation looks like with Values.

Here is how the Roof Height of House Shape equation looks like with Units.

Here is how the Roof Height of House Shape equation looks like.

2.7839 = \sqrt{\frac{(4 \cdot 8^{2}) - 15^{2}}{4}}

2.7839m = \sqrt{\frac{(4 \cdot {8m}^{2}) - {15m}^{2}}{4}}

2.7839 = \sqrt{\frac{(4 \cdot 8^{2}) - 15^{2}}{4}}

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Roof Height of House Shape Solution

Follow our step by step solution on how to calculate Roof Height of House Shape?

FIRST Step Consider the formula

h Roof = \sqrt{\frac{(4 \cdot {S Roof}^{2}) - {l Base}^{2}}{4}}

Next Step Substitute values of Variables

∴

h Roof = \sqrt{\frac{(4 \cdot {8m}^{2}) - {15m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h Roof = \sqrt{\frac{(4 \cdot 8^{2}) - 15^{2}}{4}}

Next Step Evaluate

∴

h Roof = 2.78388218141501m

LAST Step Rounding Answer

∴

h Roof = 2.7839m

Roof Height of House Shape Formula Elements

Variables

Functions

Roof Height of House Shape

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.

Symbol: h_Roof

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Roof Height of House Shape

Roof Side of House Shape

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.

Symbol: S_Roof

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Roof Side of House Shape

Base Length of House Shape

The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of House Shape

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.

Syntax: sqrt(Number)

Other formulas in House Shape category

Go Perimeter of House Shape

P = l Base + (2 \cdot h Wall) + (2 \cdot S Roof)

Go Base Length of House Shape given Perimeter

l Base = P - (2 \cdot h Wall) - (2 \cdot S Roof)

Go Wall Height of House Shape given Perimeter

h Wall = \frac{P - l Base - (2 \cdot S Roof)}{2}

Go Roof Side of House Shape given Perimeter

S Roof = \frac{P - l Base - (2 \cdot h Wall)}{2}

How to Evaluate Roof Height of House Shape?

Roof Height of House Shape evaluator uses Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4) to evaluate 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 evaluate Roof Height of House Shape using this online evaluator? To use this online evaluator 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.

FAQs on Roof Height of House Shape

What is the formula to find Roof Height of House Shape?

The formula of Roof Height of House Shape is expressed as Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). Here is an example- 2.783882 = sqrt(((4*8^2)-15^2)/4).

How to calculate Roof Height of House Shape?

With Roof Side of House Shape (S_Roof) & Base Length of House Shape (l_Base) we can find Roof Height of House Shape using the formula - Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). This formula also uses Square Root (sqrt) function(s).

Can the Roof Height of House Shape be negative?

No, the Roof Height of House Shape, measured in Length cannot be negative.

Which unit is used to measure Roof Height of House Shape?

Roof Height of House Shape is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Roof Height of House Shape can be measured.

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Roof Height of House Shape Formula

Roof Height of House Shape Example

Roof Height of House Shape Solution

Roof Height of House Shape Formula Elements

Other formulas in House Shape category

How to Evaluate Roof Height of House Shape?

FAQs on Roof Height of House Shape

Variable Name