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ELEN [110]
3 years ago
14

What is the perimeter of XY Z? please explain step by step

Mathematics
1 answer:
Naily [24]3 years ago
4 0

The perimeter of ΔXYZ is 126 units.

Solution:

Given ΔPQR \sim ΔXYZ.

In ΔPQR,

PQ = 5, QR = 10, PR = 6

In ΔXYZ,  XY = 30

Perimeter of ΔPQR = PQ + QR + PR

                                = 5 + 10 + 6

                                = 21

Perimeter of ΔPQR = 21

To find the perimeter of ΔZYZ:

If two triangles are similar then the ratio of the perimeters of two similar triangles is same as the ratio of their corresponding sides.

$\Rightarrow\frac{PQ}{XY} = \frac{\text{Perimeter of} \Delta PQR}{\text{Perimeter of} \Delta XYZ}

$\Rightarrow\frac{5}{30} = \frac{21}{\text{Perimeter of} \Delta XYZ}

Do cross multiplication, we get

⇒ 5 × Perimeter of ΔXYZ = 30 × 21

⇒ 5 × Perimeter of ΔXYZ = 630

Divide by 5 on both sides of the equation.

⇒ Perimeter of ΔXYZ = 126

Hence the perimeter of ΔXYZ is 126 units.

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Going back to the narrative of the question, the narrative in the question can not be described as a function because the two identifies variables which are the price and the model years are been altered due to the fact that it is a used car lot so they have both lost their true value or worth. However, some might argue that price here is the independent function or variable while model year is the dependent variable.

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