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In theparallelogram, the value of x is ?

In theparallelogram, the value of x is ?-example-1
User Mojoblanco
by
2.5k points

2 Answers

20 votes
20 votes

Answer:

6 cm

Explanation:

the 2 triangles are similar, we can solve with an equation

12 : 10 = x : 5

x = 12 * 5 : 10

x = 60 : 10

x = 6 cm

User Kaninepete
by
3.2k points
24 votes
24 votes

Answer:

x = 6 cm

Explanation:

in the parallelogram, if we consider the side of length 12

as the base then the corresponding height is 5.

In this case the area of our parallelogram = 5 × 12 = 60 cm²

………………………………………………

in the parallelogram, if we consider the side of length 10

as the base then the corresponding height is x.

In this case the area of our parallelogram = 10 × x = 10x cm²

………………………………………………

In order to determine x ,we equate the two different results

that we got for the same area .

In other words ,we have to solve the equation 10x = 60.

10x = 60

⇔ x = 60/10 = 6

User Michy
by
3.2k points