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3 years ago

I need help with this one plz! (marking BRAINLIST) :)

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

5 0

Answer:

x=22

Step-by-step explanation:

the triangle in which x is in is an equilateral triangle.

44 is an exterior angle to that triangle.

an exterior angle is always equal to tbe sum of the opposite 2 interior angles.

because that triangle is equilateral

x =44 ÷ 2

x=22

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4 years ago

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

a = 10
b = 16
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By the converse of the pythagorean theorem, we need $b^2 < a^2+c^2$ to be true in order for an acute triangle to happen.

So,

$b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5$

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

$c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\$

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

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I need help with this one plz! (marking BRAINLIST) :) ​

I need help with this one plz! (marking BRAINLIST) :)