Find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed.

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

Answer : The correct option is, (B) 56.8

Step-by-step explanation :

Right Triangle Altitude Theorem:

The measure of altitude drawn from the vertex of the right angle of a right angled triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

We are drawing a line from vertex to hypotenuse side.

As per theorem:

$\frac{BD}{AB}=\frac{CB}{AC}$

$\frac{BD}{60}=\frac{175}{185}$

$BD=\frac{175\times 60}{185}$

$BD=56.8$

Therefore, the length of the altitude to the hypotenuse is 56.8

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How to reduce into simpler terms.?

Sveta_85 [38]

Answer:

The simplest form of the fraction $\frac{45}{100}$ is $\frac{9}{20}$ .

i.e.

$\frac{45}{100}=\frac{9}{20}$

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.

In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

$\frac{45}{100}$

$\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}$