Question

an isosceles triangle has perimeter 30cm and each of the equal side is 12 cm find the area of triangle

Answer 1

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Answer 2

Answer:

⇒ Area = 9√15 cm²

Step-by-step explanation:

Let the length of the unequal side be x cm.

Then , Perimeter = 30 cm

⇒ x + 12 + 12 = 30

⇒ x + 24 = 30

⇒ x = 6

We have,

⇒ 2s = 30 cm

⇒ s = 15 cm

Therefore,

⇒ Area = √s ( s - a ) ( s - b ) ( s - c )

⇒ Area = √15 ( 15 - 12 ) ( 15 - 12 ) ( 15 - 6 )

⇒ Area = √15 × 3 × 3 × 9

⇒ Area = 9√15 cm²