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Find the length represented by x for each pair of similar triangles

Find the length represented by x for each pair of similar triangles-example-1
User RoyalSwish
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1 Answer

4 votes

1)

Given:

Required:

We need to find the value of x.

Step-by-step explanation:

Recall that the corresponding sides of similar triangles are proportional.

12m and 6m are corresponding sides of the given similar triangles

16m and x are corresponding sides of the given similar triangles

The proportion of the sides can be written as follows.


(12)/(6)=(16)/(x)
2=(16)/(x)

Use the cross-product method.


2x=16
(2x)/(2)=(16)/(2)
x=8m.

2)

Given:

18cm and 30cm are corresponding sides of the given similar triangles.

x and 25 cm are corresponding sides of the given similar triangles.

Required:

We need to find the value of x.

Step-by-step explanation:

Recall that the corresponding sides of similar triangles are proportional.

The proportion of the sides can be written as follows.


(18)/(30)=(x)/(25)

Multiply both sides of the equation by 25.


(18*25)/(30)=(x)/(25)*25
15=x
x=15cm

3)

Given:

x and 21m are the corresponding sides of the given similar triangles.

32m and 24m are the corresponding sides of the given similar triangles.

Required:

We need to find the value of x.

Step-by-step explanation:

Recall that the corresponding sides of similar triangles are proportional.

The proportion of the sides can be written as follows.


(x)/(21)=(32)/(24)

Multiply both sides of the equation by 21.


(x)/(21)*21=(32)/(24)*21
x=28m

4)

Given:

12in and 15in are the corresponding sides of the given similar triangles.

x and 40in are the corresponding sides of the given similar triangles.

Required:

We need to find the value of x.

Step-by-step explanation:

Recall that the corresponding sides of similar triangles are proportional.

The proportion of the sides can be written as follows.


(12)/(15)=(x)/(40)

Multiply both sides of the equation by 40.


(12)/(15)*40=(x)/(40)*40
x=32in

Final answer:

1)


x=8m.

2)


x=15cm

3)


x=28m

4)


x=32in

Find the length represented by x for each pair of similar triangles-example-1
User Al Kasih
by
7.5k points

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