2
$\begingroup$

A triangles altitude to the $15$in sides measures $8$in, find the area.

I drew the triangle and once I try to figure out the base using Pythagorean theorem I get $\sqrt {161}$, how do I solve the problem?

$\endgroup$
7
  • 2
    $\begingroup$ I don't understand what you're trying to say $\endgroup$ – suomynonA Nov 25 '16 at 22:04
  • $\begingroup$ Well the title is area of polygons and circles but for some reason it wasn't allowing me to post it because the title exist already, anyway I've drew a triangle and both the sides are 15 and the altitude is 8 so once I've tried to use pythagorean theorem to find the missing side I get radical 121 $\endgroup$ – Edith Mendoza Nov 25 '16 at 22:10
  • $\begingroup$ Did a quick sketch on MS paint. Which is correct, the green or the red? $\endgroup$ – suomynonA Nov 25 '16 at 22:14
  • $\begingroup$ @EdithMendoza - Please consider adding a diagram as the question is not clear from what you have written. $\endgroup$ – Shraddheya Shendre Nov 25 '16 at 22:15
  • $\begingroup$ @suomynonA the green one matches how I have it because the question says the 15in sides but it doesn't say the base is 15 on the sides so when I use pythagorean theorem to solve for the missing side I end up with radical 121 $\endgroup$ – Edith Mendoza Nov 25 '16 at 22:18
2
$\begingroup$

Based on OP's interpretation (green)

The area of half of the base would be $\sqrt{15^2-8^2}=\sqrt{161}$ Multiply by the height, $8$, to get $8\sqrt{161}$

$\endgroup$
2
  • $\begingroup$ That's what I got but it seems wrong to me $\endgroup$ – Edith Mendoza Nov 25 '16 at 22:25
  • $\begingroup$ The area is $8\sqrt{161}$ if your interpretation is correct $\endgroup$ – suomynonA Nov 25 '16 at 22:26

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.