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Sphinxa [80]
3 years ago
10

(URGENT) need answer for today​

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

<u>Given</u>:

Given that a triangle has side lengths 1.5 inches, 2 inches and 3 inches.

We need to determine whether the triangle is a right triangle.

<u>Right triangle:</u>

To determine whether the given triangle is a right triangle, let us use the Pythagorean theorem.

Let us assume that the given triangle is a right triangle.

Since, the value of the hypotenuse takes the largest value in the given triangle, then from the given sides, the hypotenuse is 3 inches.

The legs of the triangle are 1.5 inches and 2 inches.

Applying the Pythagorean theorem, we have;

3^2=1.5^2+2^2

Squaring the terms, we have;

9=2.25+4

9 \neq 6.25

Since, both sides of the equation are not equal, then the given triangle with sides 1.5 inches, 2 inches and 3 inches is not a right triangle.

Hence, our assumption is wrong.

The given triangle is not a right triangle.

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