Question
If JK=11 and JL=13, JM =?
- 18
- 9.31
- 2.4
- 25.12
Hint:
We are given a right-angled triangle JKL. An altitude is drawn from the vertex having the right angle. It divides the base of the triangle into two parts. The values of parts are given. We are asked to find the value of the JM. To solve this question, we will use the properties of a right-angled triangle.
The correct answer is: 9.31
Let the point where altitude meets be “M”
From the figure, we can write the values of lengths and angles.
Length of JK = 11
Length of JL = 13
Angle JKL = 90°
Consider the right-angled triangle JKL
Let the ∠KJL be “A”
Using the properties of right-angled triangle. ..
....
Now consider the right-angled ∆KMJ.
We have the value of ∠KJM
Using the properties of right-angled triangle.
Therefore, the value of JM is 9.31.
Another method to solve this is using properties of similar triangles.
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