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1. The two triangles below are similar. Answer questions (a) and (b).

2cm

Y

3cm

6cm

X

18cm

a. Solve for x.

b. Solve for y.

1 The two triangles below are similar Answer questions a and b 2cm Y 3cm 6cm X 18cm a Solve for x b Solve for

Answer :

Final answer:

By setting up and solving appropriate ratios, we find that x is 12 cm and y is 6 cm.

Explanation:

In Mathematics, when two triangles are similar, the ratio of their corresponding sides is the same. This is the principle we can use to solve for x and y.

To find the value of x, we set up the ratio 2cm/6cm (smallest side of the first triangle to the longest side of the first triangle) equivalent to ycm/18cm (smallest side of the second triangle to the longest side of the second triangle). Cross-multiplying and solving for y, we get y=6cm.

For solving the value of x, we use the ratio 3cm/2cm (second longest side of the first triangle to the smallest side of the first triangle) is equal to 18cm/xcm (longest side of the second triangle to the unknown side of the second triangle). Cross-multiplying and solving for x, we get x=12cm.

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Rewritten by : Barada

Answer:

You know they are similar. You also know that in the first triangle the bottom line is 3 cm, which is doubled in the second triangle where the bottom line is 6 cm. Because they are similar you now know that the second triangle is twice as large as the first. so x is half of 18 and y is double of 2.