Question

Altitude on the hypotenuse of a right angled triangle divides it into two parts of length 18 cm . Find the length of the altitude

Answer 1

Answer:

18 cm is the altitude.

Step-by-step explanation:

An altitude is a perpendicular drawn from opposite vertex on hypotenuse.

And it divides the hypotenuse into two equal parts of 18 cm. By SAS criterion of congruence we have given triangle is isosceles.

Let each of it's sides equal to x cm.

By Pythagorean theorem,

find x.

2x^2=(18+18)^2

or,x=√648

Now,

Use one of the two triangles formed by altitude,

to find altitude.

let altitude=y cm

y^2+18^2=x^2

or,y^2=648-324=324

or,y=18 cm