Question

Sides of triangle are each centimetre 15 cm and 17 cm find the area

Answer 1

this question is wrong

Answer 2

Correct Question:

Sides of triangle are each centimetre 15 cm, 10 cm and 17 cm, find the area.

Answer:

⇒ Area = 6√154 cm²

Step-by-step explanation:

Finding the area of the given triangle by Heron's formula;

We know that,

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

Here, a = 15 , b = 10 & c = 17

Therefore,

⇒s = 1/2 ( a + b + c )

⇒1/2 ( 15 + 10 + 17 )

⇒ 21

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

⇒ Area = √21 ( 21 - 15 ) ( 21 - 10 ) ( 21 - 17 )

⇒ Area = √21 × 6 × 11 × 4

⇒ Area = √3 × 7 × 3 × 2 × 11 × 2 × 2

⇒ Area = 3 × 2 √7 × 11 × 2

⇒ Area = 6√154 cm²