Question

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Answer 1

Given:

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.

Right triangle:

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

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.