## anonymous one year ago Given that PHT is a right triangle HY and is an altitude, what is the missing justification in the proof that(PH)2 +(HT)=(PT)2 ? http://media.apexlearning.com/Images/201306/28/eeb89b21-59b3-4f42-945a-8a99fa28ed69.jpg http://media.apexlearning.com/Images/201310/23/fcf6f216-c94a-423d-8e75-54042c79988d.jpg A. Corresponding sides of congruent triangles are proportional. B. Corresponding sides of congruent triangles are congruent. C. Corresponding sides of similar triangles are congruent. D. Corresponding sides of similar triangles are proportional.

1. anonymous

MEDAL AND FAN

2. amilapsn

|dw:1440161909792:dw| |dw:1440161931130:dw|

3. anonymous

how does that help ive been looking at that my other screen for the last ten minutes

4. amilapsn

5. amilapsn

It should be $$PH^2+HT^2=PT^2$$ right?

6. anonymous

yea

7. amilapsn

So we have to answer the question why is $$\sf\frac{HT}{PT}=\frac{YT}{HT}$$ok?

8. anonymous

yep

9. amilapsn

In the earlier step it has been proven that $$\sf\Delta PHT \text{ is similar to } \Delta HYT$$. What are they, triangles or angles?

10. anonymous

triangles

11. amilapsn

Very well. are they similar or congruent?