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3 years ago

WILL GIVE BRAINLIST IF CORRECT If the triangle below has area 300 square cm, find the value of x.

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

33.56

Step-by-step explanation:

Area is useless here. Just use cosine (x) = 30/36, or cosine (x) = 0.8333

What value of x makes this true? 33.56!

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3 years ago

Find the value of y.

Phoenix [80]

$\boxed{y=6\sqrt{3}}$

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

$\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6$

But our goal is to find y. Let's call w the height of the small triangle, then:

$w=\sqrt{6^2-3^2}=3\sqrt{3}$

Applying the concept of ratios again:

$\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}$

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

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3 years ago