Question

A triangle has sides with lengths 7 meters, 4 meters, and 5 meters.
Is it a right triangle?
H. Yes
I. No

Answer 1

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Answer 2

H. Yes

Answer 3

To determine if a triangle is a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the sides of the triangle are 7 meters, 4 meters, and 5 meters. Let's label these sides as a = 7, b = 4, and c = 5.

To check if it's a right triangle, we need to see if the Pythagorean theorem holds:

a^2 + b^2 = c^2
7^2 + 4^2 = 49 + 16 = 65
c^2 = 5^2 = 25

Since 65 is not equal to 25, the triangle does not satisfy the Pythagorean theorem and therefore, it is not a right triangle.

So, the answer is:

I. No