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Serhud [2]
3 years ago
9

Someone help me on this question.

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

green box: 13

Step-by-step explanation:

The altitude from the right-angle vertex divides a right triangle into similar triangles. Corresponding sides of similar triangles are in proportion, so you have ...

... short side / long side = 4/y = y/9

Multiplying by 9y gives ...

... 36 = y²

... 6 = y . . . . taking the square root

___

z is the hypotenuse of the right triangle with sides 6 and 9. So the value of z will be ...

... z² = 6² +9² . . . . . . Pythagorean theorem

... z = √(36 +81) = √(9·(4 + 9)) = 3√13

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