# In a triangle ABC;angle A=90degrees,side AB=xcm,AC=(x+5)cm and area =150cm2.find the sides of the triangle.

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Area of right triangle = 1/2 × base × height

= 1/2 × AB × AC

1/2 × (x) × (x+5) = 150

x(x+5) = 300

x² + 5x - 300 = 0

(x+20)(x-15) = 0

x = 15

Sides AB = 15 cm and AC = 15 + 5 = 20 cm

Hypotenuse BC =

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