Given two similar triangles, what would you need to know to find an unknown length? How would you find that unknown length?

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17-05-2018
Mathematics

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Given two similar triangles, what would you need to know to find an unknown length? How would you find that unknown length?

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carlosego carlosego · Answer 1 · 2018-05-30T10:10:59+02:00

What would you need to know to find an unknown length?
For this case you need to know three measurements.
Two measures of the triangle that is similar and a measure of the original triangle.
Thus, the fourth measure is what will be the unknown side and is the one that we must find.

How would you find that unknown length?
Let:
a, b, c: known sides
x: unknown side
By similarity of triangles we have:
x / a = b / c
From here, we clear the value of the unknown side

abidemiokin abidemiokin · Answer 2 · 2022-01-10T12:07:28+01:00

We will need the length and width of any of the triangles and either the length or width of the other to get the unknown length.

What is a triangle?

A triangle is a shape with 3 sides and angles

Given any two similar triangles, we will need the length and width of any of the triangles and either the length or width of the other to get the unknown length.

To get the unknown length, we will take the ratio of the length to the width of both triangles and equate as shown:

l/w = L/x

where x is the unknown length

Cross multiply

xl = Lw

x = Lw/l

Learn more on similar triangles here: https://brainly.com/question/2644832