Question

Please solve this question.

Answer 1

Answer:

(b) 60 cm

Step-by-step explanation:

let let one side at right angle be x

the other must be x - 14.

area of a triangle = (½)× height × base

120 = (½) (X) (X - 14)

120=(x²-14x)/2

240=x²-14x

x²-14x-240=0

x² - 24x + 10x - 240 = 0

x(x-24)+10(x-24) = 0

(x-24) (X+10) = 0

now find x

x-24=0

x = 24

again

x + 10 = 0

x = -10

as the side could not be - v so the value of x as a side must be 24 cm.

so the measure of one side we got is X = 24 cm

and and the other side = x-14 = 24-14 = 10 cm

apply Pythagoras theorem for third side as it is right angle triangle

[let hypotenuse be a]

24² + 10² = a²

576 + 100 = a²

676 = a²

a =26 cm

so the hypotenuse = 26 cm

perimeter of a triangle = sum of all side

(24 + 10 + 26) cm

= 60 cm

I hope it is helpful

thank you