Question

∆JKL ~ ∆QRS. Determine x and y.

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Answer 1

Answer:

• x = 14; y = 24

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The two triangles are similar:

• ∆JKL ~ ∆QRS

Corresponding sides of similar figures have same ratio.

Use ratios to find the missing values.

Find y:

• QR/JK = QS/JL
• y/16 = 36/24
• y/16 = 1.5
• y = 16*1.5
• y = 24

Find x:

• KL/RS = JL/QS
• x/21 = 24/36
• x/21 = 2/3
• x = 21*2/3
• x = 14