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Rufina [12.5K]
4 years ago
11

The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?

Mathematics
1 answer:
Grace [21]4 years ago
3 0

Answer:

The length side of the triangle is \frac{10\sqrt{3}}{3}\ cm

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.

Let

b------> the length side of the equilateral triangle

Applying Pythagoras theorem

b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm

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Can someone offer help to this ratio question
AlekseyPX

Answer:

Cherry Pink has not been made (25:17\neq 4:3)

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l     \ \ \ \ \  \ \ \ \  \ \# simplify\\\\r:w=25:17

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

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Hence, Cherry pink has not been made.

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4 years ago
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lorasvet [3.4K]
This is the commutative property of addition. It basically says, x+y=y+x.
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Type the correct answer in the box.<br> If cos x = sin(20 + x3° and 0°
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Step-by-step explanation:

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3 years ago
Find the simple interest paid after 3 years on a loan of $9700 borrowed at an annual interest rate of 11%
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