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# If a right triangle has a hypotenuse that is twice the length

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Re: If a right triangle has a hypotenuse that is twice the length [#permalink]
saswata4s wrote:
If a right triangle has a hypotenuse that is twice the length of the shortest side, then what is the measure of the triangle's smallest angle?

(A) 15 degrees
(B) 22.5 degrees
(C) 30 degrees
(D) 45 degrees
(E) 60 degrees

Cos X = 1/2
we know that all the angle are below 90 ..
So x = 60
smallest angle = 30
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Re: If a right triangle has a hypotenuse that is twice the length [#permalink]
saswata4s wrote:
If a right triangle has a hypotenuse that is twice the length of the shortest side, then what is the measure of the triangle's smallest angle?

(A) 15 degrees
(B) 22.5 degrees
(C) 30 degrees
(D) 45 degrees
(E) 60 degrees

We may recall that the side ratio of a 30-60-90 triangle = x : x√3 : 2x

We see that the hypotenuse is double the side opposite the 30-degree angle, so we have a 30-60-90 right triangle, with smallest angle of 30 degrees.

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Re: If a right triangle has a hypotenuse that is twice the length [#permalink]
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Re: If a right triangle has a hypotenuse that is twice the length [#permalink]
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