Question

in the following right triangle, if a = 15 and b = 8, find c. enter the exact answer. c = etextbook and media

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$. Given $a = 15$ and $b = 8$, we substitute these values into the formula: $c^{2}=15^{2}+8^{2}$.

Step2: Calculate squares

$15^{2}=225$ and $8^{2}=64$. So $c^{2}=225 + 64$.

Step3: Add values

$225+64 = 289$, so $c^{2}=289$.

Step4: Find square - root

Since $c>0$ (as it represents the length of a side of a triangle), $c=\sqrt{289}=17$.

Answer:

$17$