The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s
egment, formed by the altitude to the hypotenuse that is adjacent to the other leg?
1 answer:
Answer:

Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem for calculate the length of CA:

We have

Substitute:

subtract 100 from both sides

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

We have:

Substitute:

cross multiply
divide both sides by 5

If you mean the length of segment CD, then use the proportion:

Substitute:

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