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.

Easy Math Editor

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Comments

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 $90^{\circ}$ , $22.5^{\circ}$ , $67.5^{\circ}$

Vikram Waradpande - 8 years ago

thanku so much..

Pooja Arora - 8 years ago

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 --> $90 ^ \circ , 67.5 ^ \circ , 22.5 ^ \circ$

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Kishlaya Jaiswal - 8 years ago

thanx a lot...

Pooja Arora - 8 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 $4x=90$

Timothy Wong - 8 years ago

Math	Appears 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}`	$\boxed{123}$