An altitude of a right triangle to its hypotenuse divides this hypotenuse into two segments that measure 9cm, and 16cm. what are the lengths of the legs of this triangle?

Step-by-step explanation:

Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem,  we get

⇒

⇒

⇒

⇒

Thus, the length of altitude is: 12 cm.

Now,

⇒

⇒

Also,

⇒

⇒

Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.

15, 20

Step-by-step explanation:

Just cause

(Tales Theorem)

step-by-step explanation:

step-by-step explanation: