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4 votes
Help I’ll give you 30 points

Help I’ll give you 30 points-example-1

2 Answers

3 votes

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

User Marshalee
by
7.4k points
4 votes

Answer:

QR = 6.8

XZ = 16.25

Explanation:

We can use ratios to solve since the triangles are similar

7.2 QR

------- = ------------

18 17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2 6.5

------- = ------------

18 XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

User Sansh
by
8.6k points

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