Question

What is the slant height of a square pyramid with the height of 10cm and base edge 20cm

Answer 1

Hello!

To find the base length you use the Pythagorean Theorem

$a^{2} + b^{2} = c^{2}$

c is the slant height
a is half the base length
b is the height

Put in the values you know

$10^{2} + 10^{2} = c^{2}$

Square the numbers

$100 + 100 = c^{2}$

Add

$200 = c^{2}$

Take the square root of both sides

$c = \sqrt{200}$

Simplify

$c = 10 \sqrt{2}$

Hope this helps!