Question

right-angled triangle containing the right angle are 5x cm and 3x-1 cm if it's area is 60cm^2,find its perimeter.
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Answer 1

Answer:

40cm

Step-by-step explanation:

Two sides are 5x and 3x-1 containing the right angle which means they are not hypotenuse.

Area = 60 cm²

½*5x*(3x - 1) = 60

5x(3x - 1) = 120

15x² - 5x - 120 = 0

5(3x² - x - 24) = 0

3x² - x - 24 = 0

3x² - 9x + 8x - 24 = 0

3x(x - 3) + 8(x - 3) = 0

(3x + 8)(x - 3) = 0

x = -8/3 or 3

x should be positive because a side of a triangle can't be negative.

Therefore, x = 3.

The sides are 15, 8

Hypotenuse

= √(15² + 8²)

= √(225 + 64)

= √289

= 17

Perimeter

= 8 + 15 + 17

= 40cm

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