wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The perimeter of a triangle is 50cm. One side of a triangle is 4cm longer than the smaller side and the third side is 6cm less than twice the smaller side. Find the area of the triangle.


A

530 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

1030 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

2030 cm2

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

1530 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

2030 cm2


Let the smaller side of the triangle be x cm. Therefore, the second side will be (x+4) cm, and third side is (2x6) cm.

Now perimeter of triangle

=x+(x+4)+(2x6)

=(4x2) cm

Also perimeter of triangle =50cm.

4x=52;x=524=13

Therefore, the three sides are 13cm, 17cm, 20cm

s=13+17+202=502=25 cm

Area of Δ=25(2513)(2517)(2520)

=25×12×8×5=5×5×4×3×4×2×5

=5×4×3×2×5=2030 cm2


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon