Question

Please solve 8 th question if the sides of triangle are in the ratio 5 : 12 :13 and its perimeter 300 cm . find the area of triangle ​

Answer 1

Step-by-step explanation:

let the side be 5x, 12x, 13x

perimeter=300

perimeter of ∆= sum of all side

300= 5x+12x+13x

300= 30x

10= x

hence side of ∆ be 50, 120, 130

here,

50²+120²= 130²

so it is right angle triangle because sum of square of two side equal to square of 3rd side

area of right angle ∆= 1/2×b×h

= 1/2×50×120

= 50×60

= 3000

#666

Answer 2

Step-by-step explanation:

To find area we have to find sides pf triangle,

side are in ratio 5:12:13 ,

perimeter = 300cm

let x be the ratios

now ,

5x + 12x + 13x = 300cm

30x = 300cm

x = 300/30 = 10cm

so now ,

three sides are ,

5 × 10 = 50

12 × 10 = 120

13 × 10 = 130

Now , area of triangle = (BY HERONS THEOREM)

= / s (s-a) (s-b) (s-c)

where s = a + b + c = 50 + 120 + 130 = 150

2 2

so , / 150 (150 - 50) (150 - 120) (150 - 130)

= / 150 × 100 × 30 × 20

= 1000 / 9

= 3000