What type of triangle has an exterior angle that is obtuse at to vertices?

1 answer:

7 0

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example : Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

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Eduardwww [97]

Answer:

$x=12,\\y=12\sqrt{3}$

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio $x:x\sqrt{3}:2x$ , where $2x$ is the hypotenuse, or longest side, of the triangle and $x$ is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since $x$ is opposite to the 30 degree angle,

Therefore, we have:

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Based on our side length ratio $x:x\sqrt{3}:2x$ , $y$ is then:

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