Question

The altitude of a right triangle is 7cm less that
its base. If the hypotenuse is 13cm, find the other two
sides.
​

Answer 1

Answer:

base is 12 and height is 5 cm

take base as X and height as (X-7) and the use pythogoras theorem, you also have to factorise to find x.

when you will get two values of X take the positive one. cause the height cannot be negative.

hope it helps

Answer 2

Answer:

Let x be the base of the triangle, then the altitude will be (x−7).

By Pythagoras theorem,

x

2

+(x−7)

2

=(13)

2

2x

2

−14x+49−169=0

2x

2

−14x−120=0

x

2

−7x−60=0

x

2

−12x+5x−60=0

(x−12)(x+5)=0

x=12,x=−5

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

hope this answer hepls u pls mark me as a brainliest