Question

find the area of the triangle whose two of its sides are 13 cm and 14 cm and perimeter is 42 cm I'll mark you as brainlest who give the answer first​

Answer 1

Answer:

Area of the triangle is 84cm²

Explanation:

In a triangle,

Two sides given are 13cm and 14cm.

And its perimeter is 42cm.

We need to find its area.

Let's calculate the third side of the triangle.

Assuming the third side as x cm.

We know,

Perimeter of a triangle = sum of all sides.

According to the question,

⇒ 13 + 14 + x = 42

⇒ 27 + x = 42

⇒ x = 42 - 27

⇒ x = 15

∴ Third side is 15cm.

Now,

By heron's formula :-

→ √s(s - a)(s - b)(s - c)

Here,

• a, b, and c denotes the three sides respectively.
• And the s is the semi-perimeter i.e., 42/2 = 21cm

Substituting the given values,

→ √21(21 - 13)(21 - 14)(21 - 15)

→ √21(8)(7)(6)

→ √7056

→ 84cm²

∴ Area of the traingle is 84cm²

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