Question

Which set of side lengths form a right triangle?

A.7 cm, 8 cm, 10 cm

B.15 m, 20 m, 25 m

C.10 in., 41 in., 40 in.

D.3 ft, 6 ft, 5 ft

I WAS THINKING C BUT I SEARCHED UP AND IT SAID 91 ARE OBTUSE & NOT RIGHT ANGLE SO IM CONFUSED

Answer 1

I have taken the test and I can confirm that the answer is

B. 15 m, 20 m, and 25 m.

Have a fantastic day!

Answer 2

Answer: Option 'B' is correct.

Step-by-step explanation:

We need to find the side lengths that form a right triangle ,

To find the pythagorean triplet ,we will use "Pythagorus theorem", which states that

`H^2=B^2+P^2`

As we have given that

A) 7 cm, 8 cm, 10 cm

We'll check for this

`7^2+8^2\\eq 10^2\\\\49+64\\eq 100`

so, it can't be the side of right triangle.

B) 15 m, 20 m, 25 m

We'll check for this

`15^2+20^2=25^2\\\\225+400=625\\\\625=625`

Hence, it is correct set of side lengths that form a right triangle.

On the other hand, C) and D) are not satisfying the pythagorus theorem,

because,

`41^2\\eq 40^2+10^2\\\\1681\\eq 1600+100\\\\1681\\eq 1700\\\\Similarly,\\\\3^2+5^2\\eq 6^2\\\\9+25\\eq 36\\\\34\\eq 36`

Hence, Option 'B' is correct.