Question

.Altitude and base of a right angle triangle are (x + 2) and (2x + 3) (in cm). If the area of the triangle be 60 cm2 , the length of the hypotenuse is? (a) 21 cm. (b) 13 cm (c) 17 cm. (d) 15 c

Answer 1

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Answer 2

Given:

Height of the triangle $= (x+2)$

Base of the triangle= $(2x + 3)$

Area of the triange$=60cm^{2}$

Solution:

$(x+2)(2x+3)\frac{1}{2}=60$  -equation (1)

$2x^{2} +7x-114=0$

here, $x=6$

hence,

Length of Hypotenuse =$\sqrt{15^2+8^2}$

                                      =$\sqrt{225+64}$

                                      =$\sqrt{289}$

                                      =$15$

Answer:

The length of hypotenuse of the given right angled triangle is (d) 15cm