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Rufina [12.5K]
3 years ago
8

30 POINTS! Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 3

4 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
Mathematics
1 answer:
Vesna [10]3 years ago
3 0
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

<span>x ≈ 24.04 inches
hope this helps
</span>
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