Question

1. what type of triangle has sides a = 8, b = 15, and c = 17? a. right triangle b. isosceles triangle c. acute triangle d. scalene triangle

Explanation:

Step1: Apply Pythagorean theorem

Check if $a^{2}+b^{2}=c^{2}$.

Step2: Calculate $a^{2}+b^{2}$

$a = 8$, $a^{2}=8^{2}=64$, $b = 15$, $b^{2}=15^{2}=225$, so $a^{2}+b^{2}=64 + 225=289$.

Step3: Calculate $c^{2}$

$c = 17$, $c^{2}=17^{2}=289$.

Step4: Compare

Since $a^{2}+b^{2}=c^{2}$, it is a right - triangle.

Answer:

A. Right triangle