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Use the Pythagorean theorem:

a^2 + b^2 = c^2

a = sqrt (c^2 - b^2)

Where:

a=the height (pyramid height from base to peak)

b=the base length

c = the hypotenuse (slant) length

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Q: How do you find slant height of a triangular pyramid?
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Related questions

How do you find the lateral area of a triangular pyramid with the perimeter and slant height?

LA=1/2ps


How do you find the slant height of a a pyramid?

I don't know not mine


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How do you find the slant height of a 6 sided pyramid?

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Why is it helpful to know the slant height of a pyramid to find its surface area?

Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.


How do you find the slant height of a cone if you have the lateral area and slant height?

Why do you need to FIND the slant height if you have the [lateral height and] slant height?


How To find out the Volume of a triangular based pyramid?

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How do you find the slant height of a hexagonal pyramid give the height is 13.75 and the lateral edge is 15?

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How do you find the slant height of a pyramid with a rectangular base?

If you make a line from the top of the pyramid to the center of the base, you have the height of the pyramid. This meets at the midsegment of a line going across the base. Since the height of a pyramid is perpendicular with the base, get this: the height, a line of 1/2 the length of the base, and the slant height form a right triangle. So, you can use the Pythagorean Theorem! For example, if the base length is 6 and the height of the pyramid is 4, then you can plug them into the Pythagorean Theorem (a squared + b squared = c squared, a and b being the legs of a right triangle and c being the hypotenuse). 1/2 the length of the base would be 6 divided by 2=3. 3 squared + 4 squared = slant height squared. 9+16=slant height squared. 25= slant height squared. Slant height=5 units. You're welcome!