1 Here are two right-angled triangles.

y cm
6 cm
X
X
10 cm
15 cm
Circle the value of y.

y = 9 cm

Step-by-step explanation:

The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is

= = 1.5 ( multiply both sides by 6 )

y = 6 × 1.5 = 9 cm

let the first ∆ be ∆ABC and the second triangle be ∆XYZ

In ∆ABC and ∆XYZ ,

90° = 90°

∠X = ∠X

therefore , by AA property of similarity

∆ABC ≈ ∆XYZ

Now ,

the sides of similar triangles are in proportion ! therefore ,

hope helpful~

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