A square pyramid with a= 20 mm and b=96 mm. Find the length of c.

c = 52 mm.

Explanation:

Given the following data;

a = 20 mm

b = 96 mm

To find the length of c, we would use Pythagoras theorem.

The slant side which is the longest side of the square pyramid is the hypotenus (c).

The side "b" gives the base of the right triangle, which we would divide by 2.

b = 96/2 = 48 mm

c² = a² + b²

c² = 20² + 48²

c² = 400 + 2304

c² = 2704

Taking the square root of both sides, we have;

c = 52 mm.

Therefore, the length of the hypotenus (c) is equal to 52 millimeters.