## In a right angle triangle the altitude is 4 cm long than the corresponding base. if the area of the triangle is 96 CM square the length of a

Question

In a right angle triangle the altitude is 4 cm long than the corresponding base. if the area of the triangle is 96 CM square the length of altitude and hypotenuse will be dash CMO and dash CMO respectively

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Math
7 months
2021-10-07T22:16:52+00:00
2021-10-07T22:16:52+00:00 1 Answer
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## Answers ( )

Base of a triangle is 4 cm longer than its altitude.

Area of triangle =48 cm

2

Let base of triangle =b

Altitude =b−4

Area =

2

1

×b×h=48

2

1

×b×(b−4)=48

b

2

−4b−96=0

(b−12)(b+8)=0

But, base cannot be negative

So, base =12 cm

Altitude=12−4=8 cm.