## anonymous 4 years ago Right triangle: Find AB if BC=3, BD=5, and AD=7

1. anonymous

2. AccessDenied

Well, you know two sides of the inner right triangle BCD and AD. You could use Pythagorean theorem to find the third side of the first triangle, and that's one segment of the leg in the larger right triangle. Then just add them together and use Pythagorean theorem again...

3. anonymous

|dw:1333244473241:dw|

4. anonymous

5^2=3^2+4^2 DC=4 ad+dc=ac=4+7=11 ab=sqrt(121+9) ab=sqrt(130)

5. anonymous

first find DC using $h ^{2}=p ^{2}+b ^{2}$ AND then find AB considering ABC right angled triangle

6. anonymous

$AB=5*\sqrt 26$

7. anonymous

Great, thanks guys.