If the hypotenuse of a right-angled triangle is 29 cm and the difference between its other two sides is 1 cm, then find the sum of the other two sides of the triangle.
Show answer & explanation
Correct answer: D
Explanation
Given:
Hypotenuse = 29 cm
Difference of two sides = 1 cm
By the formula:
a² + b² = c²
Let the sides = x and x + 1
x² + (x + 1)² = 29²
x² + x² + 2x + 1 = 841
2x² + 2x + 1 = 841
2x² + 2x − 840 = 0
x² + x − 420 = 0
(x + 21)(x − 20) = 0
x = 20
Second side = 21
Sum = 20 + 21 = 41 cm