Question

Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!

Answer 1

Answer: Not a right-angled triangle

Explanation:

Given

The sides of a triangle are
`7\ m, 8\ m, \text{and}\ 10\ m`

For a right-angle triangle, it must satisfy the Pythagoras theorem

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

i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides

Here,

`\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\\eq 100`

Therefore, it is not a right-angle triangle