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## radh 3 years ago Find the area of the triangle with a = 4 feet, b = 8 feet, and c = 11 feet. Round to the nearest tenth.

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1. Jas9420

Can you use the Heron's Formula?

2. radh

This is in relevance to the sides of a right triangle and the answer choices are: 12.3 ft2 9.3 ft2 14.3 ft2 13.3 ft2

3. Jas9420

Oh, a right triangle!

4. radh

I'm not sure what that is.

5. Jas9420

Since 11 is the highest, it must be the hypotenuse. Which means that the other two are the base and height of the right triangle. Now, use the Area of a Triangle Formula. It is Area = Base*Height / 2

6. radh

See, that's where I got 16 (4/2*8), but that doesn't fit with the answer choices.

7. Jas9420

Then shouldn't it be 16? Are your options correct? =?

8. Jas9420

Yeah, I know. But that's the only explanation since it's a right angled triangle.

9. radh

Yep. I posted exactly what the question said in the title and the answer choices.

10. Jas9420

Oh. But you did get what I was trying to say, right?

11. radh

Yeah, but. How would this work with Heron's Formula? (Maybe I've interpreted it wrong; this is a Trig course, so I assumed it would concern Right Triangles, but maybe not?)

12. Jas9420

We use Heron's formula when we know all the three sides and the triangle isn't a right angled one. It's a very lengthy process, so we refrain from using it with right angled triangles as they can be better solved using the normal Triangle's Area formula.

13. Jas9420
14. radh

Oh. If it helps, we were learning about the Law of Sines in this lesson. (That confused me all the more.) Nothing was said about Heron's Formula here or in subsequent lessons, so I think we can avoid that?

15. Jas9420

Yeah, Heron's formula isn't required here if you've been learning Trigonometry.

16. radh

And the Law of Sines relates to angles/sides, but we're only given sides to work with here. Sigh!

17. Jas9420

Which angle of Tan is 1/2?

18. Jas9420

There isn't one. *Sigh* We can't find the angles! Do you guys use a calculator? And even if we find the angles, what use is it?!

19. Jas9420

We don't use Trigonometry for finding the area. It's only used to find the angles or sides of a right triangle.

20. radh

We can use calculators, but if I knew how to approach the problem I would've used it. :P

21. radh

Honestly, I'm not sure. Thank you for your effort, though. I'm probably just going to guess and hope it doesn't account for much of my grade.

22. Jas9420

Hehe, we couldn't use calculators. T_T And I wish I remembered how Trigonometry. It was way back in the 9th grade I think. But really, are you sure the question isn't faulty?

23. radh

On my part, I'm sure it isn't faulty. On the teacher's fault, I'm not sure. I'll ask him about it tomorrow.

24. Jas9420

Ah, alright. Good luck with that. =D On a personal note, which grade are you in?

25. radh

10th. Pre-Calculus.

26. Jas9420

Ha. Okay. =]

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