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!

Question

asked Jul 3, 2022 980 views

1 Answer

Jonathon · Answer 1 · 2022-07-09T12:08:50+0000

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