The triangle with side lengths 10", 24", and 26" is a right angle triangle
Explanation:
Given:
Sides of a triangle:
a = 10 in
b = 24 in
c = 26 in
To prove: right angle triangle
Using pythagoras theorm:
(c)² = (a)² + (b)²
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
Right hand side is equal to left hand side.
Thus, the triangle with side lengths 10", 24", and 26" is a right angle triangle
