Question

If two sides of a triangle are 6cm and 8cm and if the third side is 10cm why must it be right angled

Answer 1

Simply because it is a right triangle and we can prove that using the Pythagorean theorem.

${6}^{2} + {8}^{2} = {10}^{2} \\ 36 + 64 = 100 \\ 100 = 100$
Basically, it passes the Pythagorean test. And we have it as a right triangle, with a right angle.

Answer 2

A right triangle includes 2 legs and a hypotenuse.The hopetenuse is the larger number which would bu 10cm.And the legs would be 6cm and 8cm.Now use the Pythagorean theorem a^2+b^2=c^2

solve:a and b equal our legs.c is our hypotenuse.

8^2+6^2=10^

64+36=100

solve if 64+36=100

that is true so this is a right trangle here is also attached is an image of how the triangle would look. The square in a right trangle always point to the hypotenuse.