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ss7ja [257]
3 years ago
15

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
Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
8 0

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.

sasho [114]3 years ago
4 0
"8 in., 15 in., 17 in." is a right triangle and "<span><span>4 in., 15 in., 17 in.</span>" is not a right triangle. Hope this helps!</span>

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