Question

(URGENT) need answer for today​

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.

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 \\eq 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.