1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# One leg of a right angled triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of the shorter leg of the triangle.

A

12 inches

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

7 inches

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C

20 inches

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D

14 inches

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 12 inches Let the length of the legs of the triangle be x and x+4 inches. Applying Pythagoras' theorem, x2+(x+4)2=(20)2x2+x2+8x+16=4002x2+8x−384=0x2+4x−192=0 Solving the quadratic equation,x2+16x−12x−192=0x(x+16)−12(x+16)=0(x+16)(x−12)=0∴x=−16 & 12 Length can't be negative, hence x=12 inches The shortest side(leg) is 12 .

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Solving QE by Factorisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program