Question

3 triangles form stairs. Each triangle has a side length of 11 inches and hypotenuse of 13 inches.

The length of each stair is 11 inches. What is the rise, r, for each stair? Round to the nearest inch.
2 inches
7 inches
17 inches
24 inches

Answer 1

7inches

Explanation:

using Pythagoras a²+b²=c²

so it's rearranged to c²-b²=a² or c²-a²=b²

first we get 13²-11²

next we do 169-121

this makes 48

square root 48 is 6.90 inches

this rounds up to 7 Inches

your answer would be : 7 inches