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Mathematics

Grade9

Easy

Question

Find the value of the x in the figure.

15
20
25
35

hint Hint:

Join The point A and L with a line and join the point J and B with a line. It will create two similar triangle and use the property of similarity of triangle.

The correct answer is: 15

Join The point A and L with a line and join the point J and B with a line.
Step1: We can see that there are two triangles formed as
$M A L$ and $M J B$ and these two triangles are similar.
Step2: Using the property of similarity of triangle.
Property: If two triangles are similar then the ratio of their corresponding sides are equal.
So, by using the property of similarity, we can say that
$M L space cross times space M J space equals space M A space cross times space M B$

$5 cross times 20 space equals space 5 left parenthesis 5 space plus space x right parenthesis$
$25 space plus space 5 x space equals space 100$
$5 x space equals space 75$
$x space equals space 15$
So, the value of x will be $15$

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