Question

The sides of triangles are 13 cm, 14 cm and 15 cm. The area of the triangle is (a) 84 cm square (b) 91 cm square (c) 105 cm square (d) 97.5 cm square ​

Answer 1

Answer:

the area of triangle = 1/2×base × height

=1/2×13×14

=84 sq.cm

Answer 2

Answer:

84 cm²

Step-by-step explanation:

Given :-

Sides of triangle = 13 cm, 14 cm & 15 cm

To Find :-

Area

Solution :-

We know that

[S = (a + b + c)/2]

» S = (13 + 14 + 15)/2

» S = 42/2

» S = 21 cm

Now, By using Heron's formula

[Area = √s(s - a)(s - b)(s - c)]

» Area = √21(21 - 13)(21 - 14)(21 - 15)

» Area = √21 × 8 × 7 × 6

» Area = √(3 × 7 × 2 × 2 × 2 × 7 × 2 × 3)

» Area = 3 × 7 × 2 × 2

» Area = 84 cm²

Therefore, Area of triangle is 84 cm²