Question

30 POINTS! Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece?
a. 34 sqrt2 inches
b. 17 sqrt3 inches
c. 17 sqrt2 inches
d. 13 inches

Answer 1

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
            Or I got this also
Using the special triangle theorem , an isosceles triangle has a diagonal equal to the square root of 2 of the legs of the triangle. In this case, the length of the legs is 34/ sqrt of 2 or equal to 24.04 units . This rule is based on the Pythagorean theorem
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
hope this helps