Question

1. Find the area of a triangle whose sides are 12 cm, 6 cm and 15 cm.

Answer 1

Question: Find the area of a triangle whose sides are 12 cm, 6 cm and 15 cm.

Answer:

The triangle whose sides are

a = 6cm

b = 12 cm

c = 15 cm

S =12+15+6/2

S =13

using herons formula we get the area of triangle as 34.2 cm

Hope it helps ya'

Answer 2

Given :

• Sides of Triangle = 12 cm, 6 cm and 15 cm.

To find :

• the area of a triangle

Solution :

⇒ Let's find the Semi-Perimeter, first.

→ Semi-Perimeter = a + b + c/2

= 12 + 6 + 15/2

= 33/2

= 16.5

⇒ Now, let's use "Heron's formula" to find the Area.

→ Heron's formula = √s (s - a) (s - b) (s - c)

= √16.5 (16.5 - 12) (16.5 - 6) (16.5 - 15)

= √16.5 (4.5) (10.5) (1.5)

= √16.5 × (4.5) × (10.5) × (1.5)

= √1169.4

= √1169.4 cm²

• Therefore, the area of a triangle is √1169.4 cm².