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sleet_krkn [62]
3 years ago
8

In a 30-60-90 triangle the long leg is half the hypotenuse Always Sometime Never

Mathematics
2 answers:
maria [59]3 years ago
8 0
I wanted to say Sometime
But I believe the answer is Never
Troyanec [42]3 years ago
4 0

Answer:

Never.

Step-by-step explanation:

Definition:

In a 30-60-90 triangles:

  • The length of a hypotenuse sides is twice the length of the shorter leg
  • The length of the Longer side is \sqrt{3} times the shorter leg.

As per the statement:

In a 30-60-90 triangle the long leg is half the hypotenuse.

since,

\text{Shorter leg} = \frac{1}{\sqrt{3}} \cdot \text{Length of longer side}

By definition;

length of a hypotenuse sides is twice the length of the shorter leg

⇒\text{length of hypotenuse} = 2 \cdot \frac{1}{\sqrt{3}} \cdot \text{Length of longer side}

⇒\text{length of hypotenuse} =\frac{2}{\sqrt{3}} \cdot \text{Length of longer side}

⇒\text{length of longer side} =\frac{\sqrt{3}}{2} \cdot \text{Length of Hypotenuse side}

Therefore. the given statement "In a 30-60-90 triangle the long leg is half the hypotenuse." is Never.

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