Question

21). The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 150 cm. The area of the triangle is​

Answer 1

Answer:

750 sq units

Step-by-step explanation:

Given:

5:12:13

add x to them

therefore,

5x,12x,13x

Perimeter of a triangle= Sum of all sides.

5x+12x+13x = 150 cm

30x = 150cm

x= 150/30

×=5

5x= 5×5 =25cm

12x= 12×5 = 60cm

13x = 13x5 = 65cm

We can find the Area of triangle by Heron's formula

s= a+b+c/2 = 150/2

s=75

by heron's formula

s×(s-a)(s-b)(s-c)

75×(75-25)(75-60)(75-65)

75x50×15×10

= 562500

root of 562500 is 750

therefore, the area is 750 cm^2