# try this ....

the largest angle of a triangle is equal to the sum of other two triangles. the smallest angle is 1/4 of the largest angle .find the angles of the triangle.

Note by Pooja Arora
5 years 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:

Let largest angle be $$4x$$

then smallest angle = 1/4 of largest angle = $$x$$

Therefore, middle (or third) angle should be --> $$180 - (4x +x) = 180 - 5x$$

But the first statement says that sum of two angles = largest angle

=> $$x + (180 - 5x) = 4x$$

=> $$x = 22.5 ^ \circ$$

So the angles are --> $$90 ^ \circ , 67.5 ^ \circ , 22.5 ^ \circ$$

- 5 years ago

thanx a lot...

- 5 years ago

The first statement gives us that the largest angle is of $$90^{\circ}$$ The second statement gives us the smallest angle to be $$22.5^{\circ}$$. So the angles are $$90^{\circ}$$, $$22.5^{\circ}$$ , $$67.5^{\circ}$$

- 5 years ago

thanku so much..

- 5 years ago

Let the largest angle be $$4x$$

Then, it says that the smallest angle is $$\frac {1}{4}$$ of the largest angle which would be $$x$$

So, the last angle would be $$4x-x=3x$$

Lets make it as $$4x+3x+x=180\Rightarrow8x=180$$ So, $$x=22.5$$, $$3x=67.5$$, and $$4x=90$$

- 5 years ago