# An easy proof problem !!

Prove that the area of triangle with angles $$\alpha,\beta,\gamma$$ knowing that the distances from an arbitrary point $$M$$ taken inside the triangle to its sides are equal to $$m,n,k$$ is equal to $$\frac{(k \sin \gamma + n \sin \alpha + m \sin \beta)^{2}}{2 \sin \alpha \sin \beta \sin \gamma}$$.

Note by Akshat Sharda
2 years, 8 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

The question is confusing. I believe you missed a number "Prove the area of a triangle with angles x,y,z knowing that"

- 2 years, 8 months ago

No !! its correct. Please tell me what are you confused at.

- 2 years, 8 months ago

what is the area I'm supposed to prove?

- 2 years, 8 months ago

You have to prove that area of $$\triangle ABC =\frac{(k \sin \gamma + n \sin \alpha + m \sin \beta)^{2}}{2 \sin \alpha \sin \beta \sin \gamma}$$

- 2 years, 8 months ago

ah, ok

- 2 years, 8 months ago