Question

question 4 of 10
△def is a right triangle.
a. true
b. false

Explanation:

Step1: Apply the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side). Let \(a = 17\), \(b = 24\), and \(c = 40\).
Calculate \(a^{2}+b^{2}\):
\(17^{2}+24^{2}=289 + 576=865\)
Calculate \(c^{2}\):
\(40^{2}=1600\)

Step2: Compare the values

Since \(865
eq1600\) (i.e., \(17^{2}+24^{2}
eq40^{2}\)), \(\triangle DEF\) is not a right - triangle.

Answer:

B. False