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Find the missing length indicated

Find The Missing Length Indicated class=

Sagot :

reinhard10158

Step-by-step explanation:

10)

again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.

all these 3 triangles are similar to each other (the angles must be the same).

therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.

so,

x/36 = 64/x

x² = 64×36

x = sqrt(64×36) = 8×6 = 48

11)

same principle.

x/36 = 100/x

x² = 100×36

x = sqrt(100×36) = 10×6 = 60

12)

same as 11)

x/9 = (16+9)/x = 25/x

x² = 25×9

x = sqrt(25×9) = 5×3 = 15

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