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A set of stairs is being built as shown.

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

Respuesta :

PHG

Step-by-step explanation:

using Pythagoras a²+b²=c²

HOWEVER you know the hypotenuse

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

so 13²-11²

so 169-121

this makes 48

square root 48 is 6.90 inches

this rounds up to 7 Inches

a squared + b squared = c squared

The answer is 7 inches

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