The side of a right angle triangle are (x-1) cm, 3xcm and (3x +1)cm find the value of x and lenght of its sides and its area
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Answer:
x = 8 cm
base = 7 cm
height = 24 cm
hypotenuse = 25 cm
area = 84 sq cm
Step-by-step explanation:
base = x-1
height = 3x
hypotenuse = 3x+1
(3x+1)^2 = (3x)^2 + (x-1)^2
9x^2 + 6x + 1 = 9x^2 + x^2 - 2x +1
8x = x^2
x = 8 cm
base = 7 cm
height = 24 cm
hypotenuse = 25 cm
area = 1/2 × base × height
area = 1/2 × 7 × 24
area = 7 × 12
area = 84 sq cm
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