Question

complete this assessment to review what youve learned. it will not count toward your grade.
if triangle abc has sides measuring 39, 15, and 36, is the triangle a right triangle? (1 point)
no, because ( 39^{2}+15^{2}
eq36^{2} )
yes, because 1,521 equals 1,521.
no, because the sum of the squared legs do not equal the square root of the hypotenuse.
yes, because 1,746 equals 1,746.
check answer remaining attempts : 3

Explanation:

Step1: Identify the longest side

The longest side of the triangle is \(39\), so assume it is the hypotenuse.

Step2: Apply the Pythagorean theorem

According to the Pythagorean theorem, for a right - triangle \(a^{2}+b^{2}=c^{2}\) (where \(c\) is the hypotenuse and \(a,b\) are the legs).
Calculate \(15^{2}+36^{2}\):
\(15^{2}=225\), \(36^{2} = 1296\), then \(15^{2}+36^{2}=225 + 1296=1521\)
Calculate \(39^{2}\): \(39^{2}=1521\)

Answer:

Yes, because \(1,521\) equals \(1,521\).