Given that the triangles shown below are similar, what is the value of x?
A. 5
B. 1.8
OC. 10
D. 15
M
31
25
15
A
S
31
L3 E
D

Question

06-07-2022
Mathematics

Answered

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Given that the triangles shown below are similar, what is the value of x?
A. 5
B. 1.8
OC. 10
D. 15
M
31
25
15
A
S
31
L3 E
D

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-07-08T11:26:59-04:00

Using proportions, it is found that the value of x is of x = 5, hence option A is correct.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Since the triangles are similar, the lengths are proportional. Researching the problem on the internet, we have that the proportions are given as follows:

A side with a length of x is proportional to a side with length 25.

A side with a length of 3 is proportional to a side with length 15.

Hence:

[tex]\frac{x}{25} = \frac{5}{25}[/tex]

Simplifying the denominators:

x = 5.

More can be learned about proportions at https://brainly.com/question/24372153

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Sagot :

What is a proportion?

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