# Pythagorean Theorem Examples

### Pythagorean Theorem Examples

Hi Folks,
Please help me all such tips regarding Pythagorean Theorem Examples and it's use . I always get stucked in solving such problems of Pythagorean Theorem . So please allow me to find this .Thanks.
Guest

### Re: Pythagorean Theorem Examples

I had to search for a question! If you mean
"In a ΔABC, perpendicular AD from A on BC meets at D.If BD= 8 cm, DC = 2 cm and AD= 4 cm"
Since AD is perpendicular to BC, both ABD and ACD are right triangles and we can apply the Pythagorean theorem to both. Using ABD, $$(AB)^2= (AD)^2+ (BD)^2= 16+ 64= 100$$ so AB= 10. Using ACD, $$(AC)^2= (AD)^2+ (CD)^2= 16+ 4= 20$$ so $$AC= \sqrt{20}= 4\sqrt{5}$$. Now can you answer the question?
Guest