Question

3 cm 4cm 2cm 7. The side lengths of a triangle are 5 cm, 6 cm, and 8 cm. Determine whether the triangle is a right triangle. Explain.

Answer 1

The side lengths of a triangle are 5 cm, 6 cm, and 8 cm.

We are asked to determine whether the triangle is a right triangle or not.

Recall that a right triangle follows the Pythagorean theorem given by

`a^2+b^2=c^2`

Where a and b are the shorter sides and c is the longest side.

c = 8 since it is the longest side.

Substitute the values into the above equation and check if the equation is satisfied or not.

`\begin{gathered} a^2+b^2=c^2 \\ 5^2+6^2=8^2 \\ 25+36=64 \\ 61\\e64 \end{gathered}`

As you can see, the equation is not satisfied since 61 is not equal to 64.

Therefore, the given triangle is not a right triangle.