Question

13. The perimeter of a triangle 2 points
is 150cm and sides are in the
ratio 5:12:13. Area of the
triangle is
O 375
375 sq cm
O 250 sq cm
O 500 sq cm
O 750 sq cm​

Answer 1

Step-by-step explanation:

let's take the three sides = 5x,12x and 13x

sum of all sides = perimeter of triangle

5x+12x+13x = 150

30x = 150

x= 150/30

x = 5

5x= 5×5=25

12x=12×5=60

13x=13×5=65

area of a triangle = 1/2×base ×height

let's find height of the triangle

H²=P²+B²

65²=x²+25²

4225=x²+625

4225-625=x²

3600=x²

√3600=x

60= x

1/2 ×60×25

30×25

750 cm ²

Answer :- 750 cm²