Question

Please answer #3 as shown in the picture. Please ignore the pencil work that is already there. Thanks.

Answer 1

ANSWER

4√15

EXPLANATION

Let's keep the names of the sides shown in the picture,

The Pythagorean theorem is,

$C^2=A^2+B^2$

The information we have is that A = 17 and C = 23. We have to find B,

$B=\sqrt[]{C^2-A^2}$

Replace with the values,

$B=\sqrt[]{23^2-17^2}=\sqrt[]{529-289}=\sqrt[]{240}=4\sqrt[]{15}$