# Is a triangle with sides of 6, 8, and 10, a right triangle?

##### 1 Answer

May 24, 2016

yes-a right triangle.

#### Explanation:

#color(blue)"Pythagoras' theorem"# states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.The

#color(blue)" Converse"# of this statement is 'if the square on the longest side of a triangle equals the sum of the squares on the other two sides then the triangle is right'.Here the longest side = 10

#rArr10^2=100# and

#6^2+8^2=36+64=100# This satisfies the converse condition hence the triangle is right.