An isosceles triangle has perimeter 30 cm and each of its equal sides is 12 cm. The area of the triangle is ____ $c m 2$ .

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

An isosceles triangle has perimeter 30 cm and each of its equal sides is 12cm. The area of the triangle is 34.85

c m 2

.
Given an isosceles triangle has perimeter 30 cm and each of its equal sides is 12 cm.
Let the unknown side = x.
Perimeter of triangle is,= sum of all sides

30 = 12 + 12 + x ⇒ 30 − 12 − 12 = x ⇒ x = 6 c m

Now the value of semi-perimeter (s) is,

s = 302 ⇒ s = 15 c m

Area of triangle using Heron’s formula is,

A r e a = s (s − a) (s − b) (s − c) ⇒ A r e a = 15 × 15 − 12 × 15 − 12 × 15 − 6 ⇒ A r e a = 15 × 3 × 3 × 9 ⇒ A r e a = 1215 ⇒ A r e a = 915 c m 2 ⇒ A r e a = 34.85 c m 2

The area of triangle is 34.85

c m 2

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!