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2 years ago

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?

Mathematics

2 answers:

katovenus [111]2 years ago

6 0

Answer:

Step-by-step explanation:

lyudmila [28]2 years ago

4 0

Answer: No, it is not a right triangle.

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

Let

a = 5
b = 8
c = 12

Let's see if a^2 + b^2 = c^2 is a true equation. If so, then we have a right triangle.

a^2 = 5^2 = 25

b^2 = 8^2 = 64

a^2+b^2 = 25+64 = 89

c^2 = 12^2 = 144

We see that a^2+b^2 = 89, but c^2 = 144. So a^2+b^2 = c^2 is a false equation when (a,b,c) = (5,8,12). Therefore, this is not a right triangle.

Side note: Because c^2 is larger than a^2+b^2 in this case, this means we have an obtuse triangle.

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3 years ago

Read 2 more answers

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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2 years ago

Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?

Mandarinka [93]

Answer:

6 times

Step-by-step explanation:

28claps =12seconds

? = 0.5minutes

60seconds=1minute

? =0.5 minutes

(cross multiply)

60*0.5/1 = ?

?=30seconds

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? =30secs

28*30/12 =?

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3 years ago

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C.0.25
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2 years ago

Find the missing number in the sequence<br>100, 93, 84, 73 45

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

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So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

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