Respuesta :

Answer:

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

[tex]\frac{y}{6}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5 ( multiply both sides by 6 )

y = 6 × 1.5 = 9 cm

The value of y from the diagram is 9

Similar shapes

From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;

6/10 = y/15

Cross multiply

10y = 15* 10

10y = 90

y = 90/10

y = 9

Hence the value of y from the diagram is 9

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