Question

Determine if a triangle with sides of given is a right triangle.
(i). 9,12,15
Right answer I will mark brilliant...
Uncessary message I will Reported.....​

Answer 1

Let’s try using the Pythagorean theorem, since it will only work for right triangles.

a²+b²=h²

where h is the hypotenuse (that is, the longest side of the triangle).

92+122=152

81+144=225✓

The sum of the squares of 9 and 12 does indeed equal the square of the hypotenuse, h=15; therefore, the triangle is indeed a right triangle.

Therefore, final answer:

Yes, the triangle with sides 9,12 and 15 is a right triangle

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Answer 2

Answer:

The triangle will be a right angle triangle.

Step-by-step explanation:

First, Let 9 and 12 be the sides of right triangle and 15 be the hypotenuse. In order to proof that this triangle is right angled, we have to see that (9)^2+(12)^2 =(15)^2.

Therefore,

(9)^2 + (12)^2 = 81+144=225 and,

(15)^2=225.

So, this triangle is right angled triangle.