Is my answer correct? Please see attachment and notify me.

Mathematics

2 answers:

statuscvo [17]2 years ago

6 0

Last time I checked that was about right, but it's been a few years since then.

Oksana_A [137]2 years ago

3 0

Your answer looks correct.

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Help me please, Find a, b, and c.

Mama L [17]

Answer:

a = $6*\sqrt{3}$

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Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths $1-1-\sqrt{2}$ .

A 30-60-90 right triangle has side lengths $1 - \sqrt{3} -2$ .

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

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The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to $\sqrt{2}$ . This means $\sqrt{2}$ was multiplied by $12 = \sqrt{2} * \sqrt{72}$ . This means that side c is $\sqrt{72}=6\sqrt{2}$ .