Question

determine whether each set of side lengths could be the sides of a right triangle Drag and drop each set of side lengths to the correct box right triangle not a right triangle 8 in 15 in 17 in. 4 in 15 in 17 in

Answer 1

Answer:

8 in 15 in 17 in.--- form a right angled triangle.

4 in 15 in 17 in.---- do not form a right angled triangle.

Step-by-step explanation:

We know that according to the PYTHAGOREAN THEOREM of right triangles we have:

                             $c^2=a^2+b^2$

where c is the hypotenuse or the largest side of a triangle and a and b are other two legs of a right triangle,.

1)

8 in 15 in 17 in.

$17^2=15^2+8^2\\\\289=225+64\\\\289=289$

Hence, the given measure of sides form a side of a right angled triangle.

2)

4 in 15 in 17 in.

Since,

$17^2\neq 15^2+4^2$

Hence, the given measure of sides do not form a side of a right angled triangle.

Answer 2

"8 in., 15 in., 17 in." is a right triangle and "4 in., 15 in., 17 in." is not a right triangle. Hope this helps!