Question

A wire 30 inches long is bent into a triangle with sides measuring 6 inches, 11 inches, and 13 inches. Find the measure of the largest angle in the triangle.

Answer 1

95.2 degrees

Explanation:

the largest side of the triangle is 13 in so the largest angle would be the angle opposite to it and since we have three sides we can use law of cosines a^2+b^2-c^2/2bc

cos(x)=(11^2+6^2-13^2)/(2x11x6)

cos(x)=-1/11

x=
`cos^(-1)`(-1/11)

x=95.2 (correct to 3 s.g.f)