Math, asked by NehalAggarwal, 3 months ago

in the given figure ab||mn if pa x-2 pm X pb x-1 and on x+2 find the value of x

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Answers

Answered by danju6712
0

Answer:

Step-by-step explanation:

Answered by Rameshjangid
3

Answer: The value of x is 4 unit.

Given:

PA = (x-2)\\PM =x\\PB=(x-1)\\PN=(x+2)\\AB||MN

To Find: The value of x.

Step-by-step explanation:

Step 1: Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Step 2: Since AB||MN and point P is common for both the triangle, then

\angle PAB = \angle PMN\\\angle PBA = \angle PNM

So, both the triangles are similar to each other. So using AAA criteria of triangle similarity we can say that \triangle ABP\triangle PMN. And

\frac{AP}{MP} =\frac{BP}{NP}

Now putting the values in the above equation, we get

\frac{x-2}{x} =\frac{x-1}{x+2} \\\\x^2-4=x^2-x\\\\x=4

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