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nevsk [136]
3 years ago
14

A triangle has angles that measure 46 and 84 what is the third angle?

Mathematics
1 answer:
pentagon [3]3 years ago
5 0
The measure of the third angle is 50 because a triangle has a sum of 180 degrees by angle.

so... 46+84=130 and to get to 180, the last angle has to be worth 50.
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What’s the answer to this?
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Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

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10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}

AC=AD+DC=2\sqrt{75}=10\sqrt{3}

S=\frac{a^2\sqrt{3} }{4}

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Answer: A) S=75\sqrt{3}m²

P.S. Hello from Russia and sorry for my bad english :^)

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