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The area of right-angled triangle is 182 sq cm. If the ratio of base to height is 7: 13, then find height of the triangle.
Question


The area of right-angled triangle is 182 sq cm. If the ratio of base to height is 7: 13, then find height of the triangle.

A.

39 cm

B.

42 cm

C.

65 cm

D.

55 cm

E.

26 cm

Correct option is E

Area = ½ ×base×height
Let the base and height be 7x and 13x respectively
ATQ,
½ ×7x×13x=182
x = 2
Required height = 13 × 2 = 26 cm

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