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Chapter 8: Q27. (page 288)

Refer to the figure at the right.

If JM=3 and JL=6, find MK.

Short Answer

Expert verified

The required valueis MK=9.

Step by step solution

01

Step 1. Given information.

In the given figure,

JM=3鈥�鈥�&鈥�鈥�JL=6

02

Step 2. Concept used.

When the altitude is drawn to the hypotenuse of a right triangle,

The length of the altitude is the geometric mean between the segments of the hypotenuse.

03

Step 3. Find out the required value by using this concept.

In the given triangle,

JKJL=JLJMJM+MK6=633+MK=12MK=9

Therefore, the required value is MK=9.

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