• Mar 14th 2011, 11:25 AM
whyonlyme
Following question is in our textbook.

Make Triangle ABC. PR = 8 cm, angle PQR = 70 degree, and AB2 + BC2 = 82 cm2 ( 2 means square )

I and also my friends are unable to solve this problem. Because of AB2 + BC2 = 82 cm2. How to make AB and BC . I hope some one will help soon. And please write the steps of constructing it. Thnx in advance....
• Mar 14th 2011, 12:25 PM
earboth
Quote:

Originally Posted by whyonlyme
Following question is in our textbook.

Make Triangle ABC. PR = 8 cm, angle PQR = 70 degree, and AB2 + BC2 = 82 cm2 ( 2 means square )

I and also my friends are unable to solve this problem. Because of AB2 + BC2 = 82 cm2. How to make AB and BC . I hope some one will help soon. And please write the steps of constructing it. Thnx in advance....

What is PR? And where do I find $\angle(PQR)$?

Please post the complete text of the equestion.
• Mar 14th 2011, 06:18 PM
whyonlyme
Quote:

Originally Posted by earboth
What is PR? And where do I find $\angle(PQR)$?

Please post the complete text of the equestion.

I also confused because of that thing, I mean there isn't given PR and $\angle(PQR)$ . I think there is any way in AC2 +BC2 = 82.
• Mar 15th 2011, 04:52 AM
earboth
Quote:

Originally Posted by whyonlyme
I also confused because of that thing, I mean there isn't given PR and $\angle(PQR)$ . I think there is any way in AC2 +BC2 = 82.

In general you have

$(\overline{AC})^2+(\overline{BC})^2=82~\implies~|\ overline{AC}| = \sqrt{82-(\overline{BC})^2}$

If you are looking for $\overline{AC}$ and $\overline{BC}$ as an integer then there are only two pairs of numbers which satisfy your equation: (1, 9) or (9, 1)