## Cutiepo0 Group Title How do you find the area of an acute triangle when you're only given the side lengths???? 3 years ago 3 years ago

1. amistre64 Group Title

one way is; you can use the law of cosines to find an angle and use that angle in the side*side*sin(angle)/2 formula

2. amistre64 Group Title

the other is to use herons formula

3. amistre64 Group Title

4. Cutiepo0 Group Title

so the area = $a timesb \times \sin$ of the angle contained between a and b?

5. Cutiepo0 Group Title

then, divided by two

6. amistre64 Group Title

thats right; so if you can find the angle between two sides, you can find the area

7. Cutiepo0 Group Title

okay! Thanks :)

8. amistre64 Group Title

in my picture; base = b; height = a sin(angle) which fits into the normal Area = b*h/2 that you are familiar with