2 years ago

Can anyone help me with this question

Mathematics

1 answer:

GREYUIT [131]2 years ago

8 0

Reflect the triangle across the y-axis. Next translate it 2 units to the left. Then translate it 6 units down.

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What’s the answer to this?

inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

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

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

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

$S=\frac{(10\sqrt{3})^2\sqrt{3} }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2$

Answer: A) $S=75\sqrt{3}$ m²

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

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