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aksik [14]
2 years ago
5

Help please asap i show step by step !

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

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If the lengths of the legs of a right triangle are 3 and 10−−√, what is the length of the hypotenuse?
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The required length of the hypotenuse of the triangle is √19.

<h3>What is a right triangle?</h3>
  • A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

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Therefore, the required length of the hypotenuse of the triangle is √19.

Know more about right triangles here:

brainly.com/question/2437195

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