Question
The hypotenuse of a right triangle is 25 cm and one of the remaining two sides is 5 cm longer than the other. The length of the other two sides is
The correct answer is
15cm and 20cm
Given Formula
H2 = P2 + B2
Calculation
Let one side be x and the other be x + 5.
Applying the Pythagorean theorem,
H2 = P2 + B2
⇒ 252 = (x)2 + (x + 5)2
⇒ 625 = x2 + x2 + 25 + 10x
⇒ 600 = 2x2 + 10x
⇒ (x + 20)(x - 15) = 0
x = 15
x + 5 → 15 + 5 = 20
Answer is 15 cm and 20 cm.
Was this answer helpful?
Important Questions from Properties of Triangles
What is the perimeter of the triangle ?
Consider the following statements :
1. ABC is right angled triangle
2. The angles of the triangle are in AP
Which of the statements given above is/are correct ?
What is the nature of the triangle ?
If c = 8, what is the area of the triangle ?
What is the value of n ?
Need Expert Advice?
