The sides of a triangle measure 6 inches 8 inches, and 10 inches. The triangle has one 90° angle. What type of triangle is it?

1 Answer
Sep 14, 2016

It is a #right-/_^(ed) Delta#, as it has got one angle of measure #90^@#.

Explanation:

Even if it had not been mentioned that the #Delta# has one #90^@ /_#, we

can infer this fact from the given lengths of the sides.

Observe that, #6^2+8^2=10^2#; hence, by the converse of

Pythagoras' Theorem, the #/_# opp. to side with length #10'# is a

right-angle.

Enjoy Maths.!