Question

The Base of a Right angled triangle is one more than its altitude. If the Hypotenuse is 5cm,then Find Product of other two sides? *​

Answer 1

Answer:

hope this will help you

Step-by-step explanation:

let x be the base of the triangle, then the altitude will be (x-7)

By pythagoras theorem,

x2+ (x-7)2 = (13)2

2x2 -14x +49 -169=0

2x2 - 14x - 120 =0

x2 - 7x - 60 =0

x2 - 12x + 5x - 60 = 0

(x-12) (x+5) = 0

x= 12 , x= -5

Since the side of triangle cannot be negative, so the base of triangle is 12 cm and the altitude of the triangle will be 12 -7 = 5cm.