Need understanding this math. each will have vertices a, b and c with a point d lying on the line segment ab. 1. if ac = 15, cb = 20, angle acb = 90◦ and angle adc = 90◦ , what is cd? 2. if ac = 15, cb = 20, ab = 25 and cd = 12, what is ad? what is db?

1. C is the right angle so AB is the hypotenuse and AD is the altitude to the hypotenuse.

The hypotenuse is

The area calculations must match. Let h=CD

12

2. This is the same triangle as above. We seek x=AD and DB=25-x

AD=9 and DB=25-9=16

AD=9, DB=16

the forst and 3rd

step-by-step explanation: