Question

A triangle has sides with lenghts of 2.5, 6 and 7. Is it a right triangle? Explain why it is or why its not a right triangle.

Answer 1

A right-angled triangle obeyes the Pythagoras theorem. This theorem states that the square of the longest side is equal to the sum of the square of the other two sides

so we will run this test on the triangle in the question

Longest side = 7

other sides = 2.5 and 6

$\begin{gathered} 7^2=2.5^2+6^2 \\ 49\text{ = 6.25 + 36} \\ 49\text{ }\ne\text{ 42.25} \\ So\text{ since both sides of the equation are not equal} \\ \text{This is not a right-angled triangle} \end{gathered}$