Question

Quilt squares are cut on the diagonal to form triangular quit pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece?

Answer 1

If the length of each side = x.

By Pythagoras' Theorem:

x² + x² = 34²

2x² = 34²

x² = 34² / 2

x² = 578

x = √578

x ≈ 24.04 inches

Answer 2

c^2= a^2 + b^2 a=b
34^2= a^2 + a^2
1156=2a^2
a^2=1156/2
a^2=578
a=24.04

The side length is 24.04