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Edge Length of Base of Square Pyramid given Slant Height Formula

GoEdge Length of Base of Square Pyramid given Lateral Edge Length Formula

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Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid. Check FAQs

l e(Base) = 2 \cdot \sqrt{{h slant}^{2} - h^{2}}

l_e(Base) - Edge Length of Base of Square Pyramid?h_slant - Slant Height of Square Pyramid?h - Height of Square Pyramid?

Edge Length of Base of Square Pyramid given Slant Height Example

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Here is how the Edge Length of Base of Square Pyramid given Slant Height equation looks like with Values.

Here is how the Edge Length of Base of Square Pyramid given Slant Height equation looks like with Units.

Here is how the Edge Length of Base of Square Pyramid given Slant Height equation looks like.

11.1355 = 2 \cdot \sqrt{16^{2} - 15^{2}}

11.1355m = 2 \cdot \sqrt{{16m}^{2} - {15m}^{2}}

11.1355 = 2 \cdot \sqrt{16^{2} - 15^{2}}

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Edge Length of Base of Square Pyramid given Slant Height Solution

Follow our step by step solution on how to calculate Edge Length of Base of Square Pyramid given Slant Height?

FIRST Step Consider the formula

l e(Base) = 2 \cdot \sqrt{{h slant}^{2} - h^{2}}

Next Step Substitute values of Variables

∴

l e(Base) = 2 \cdot \sqrt{{16m}^{2} - {15m}^{2}}

Next Step Prepare to Evaluate

∴

l e(Base) = 2 \cdot \sqrt{16^{2} - 15^{2}}

Next Step Evaluate

∴

l e(Base) = 11.13552872566m

LAST Step Rounding Answer

∴

l e(Base) = 11.1355m

Edge Length of Base of Square Pyramid given Slant Height Formula Elements

Variables

Functions

Edge Length of Base of Square Pyramid

Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Square Pyramid

Slant Height of Square Pyramid

Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.

Symbol: h_slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Square Pyramid

Height of Square Pyramid

Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Square Pyramid

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 to find Edge Length of Base of Square Pyramid

Go Edge Length of Base of Square Pyramid given Lateral Edge Length

l e(Base) = \sqrt{2 \cdot ({l e(Lateral)}^{2} - h^{2})}

Other formulas in Edge Length of Square Pyramid category

Go Lateral Edge Length of Square Pyramid

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{2} + h^{2}}

Go Slant Height of Square Pyramid

h slant = \sqrt{\frac{{l e(Base)}^{2}}{4} + h^{2}}

Go Base Area of Square Pyramid

A Base = {l e(Base)}^{2}

Go Base Angle of Square Pyramid

∠ Base = \arccos (\frac{{(\frac{l e(Base)}{2})}^{2} + {h slant}^{2} - h^{2}}{l e(Base) \cdot h slant})

How to Evaluate Edge Length of Base of Square Pyramid given Slant Height?

Edge Length of Base of Square Pyramid given Slant Height evaluator uses Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2) to evaluate the Edge Length of Base of Square Pyramid, Edge Length of Base of Square Pyramid given Slant Height formula is defined as the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the slant height of the Square Pyramid. Edge Length of Base of Square Pyramid is denoted by l_e(Base) symbol.

How to evaluate Edge Length of Base of Square Pyramid given Slant Height using this online evaluator? To use this online evaluator for Edge Length of Base of Square Pyramid given Slant Height, enter Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h) and hit the calculate button.

FAQs on Edge Length of Base of Square Pyramid given Slant Height

What is the formula to find Edge Length of Base of Square Pyramid given Slant Height?

The formula of Edge Length of Base of Square Pyramid given Slant Height is expressed as Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2). Here is an example- 11.13553 = 2*sqrt(16^2-15^2).

How to calculate Edge Length of Base of Square Pyramid given Slant Height?

With Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h) we can find Edge Length of Base of Square Pyramid given Slant Height using the formula - Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Edge Length of Base of Square Pyramid?

Here are the different ways to Calculate Edge Length of Base of Square Pyramid-

Edge Length of Base of Square Pyramid=sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))

Can the Edge Length of Base of Square Pyramid given Slant Height be negative?

No, the Edge Length of Base of Square Pyramid given Slant Height, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Base of Square Pyramid given Slant Height?

Edge Length of Base of Square Pyramid given Slant Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Base of Square Pyramid given Slant Height can be measured.

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Edge Length of Base of Square Pyramid given Slant Height Formula

​GoEdge Length of Base of Square Pyramid given Lateral Edge Length Formula

Edge Length of Base of Square Pyramid given Slant Height Example

Edge Length of Base of Square Pyramid given Slant Height Solution

Edge Length of Base of Square Pyramid given Slant Height Formula Elements

Other Formulas to find Edge Length of Base of Square Pyramid

Other formulas in Edge Length of Square Pyramid category

How to Evaluate Edge Length of Base of Square Pyramid given Slant Height?

FAQs on Edge Length of Base of Square Pyramid given Slant Height

Variable Name

GoEdge Length of Base of Square Pyramid given Lateral Edge Length Formula