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91Ó°ÊÓ

Find the value of x from the given figure.

Short Answer

Expert verified

The required value of x is x=5·

Step by step solution

01

Step 1. Given information:

We have two known adjacent sides with right angle as shown in figure.

02

Step 2. Concept used:

We use a Pythagoras Theorem.

From Pythagoras Theorem, we know that in a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other sides.

03

Step 3. Now find the value: 

The given triangle is right triangle.

Therefore,

32+42=x29+16=x225=x2

Taking square root we get.

x=±25=±5

Since, distance is positive quantity so we neglect negative sign.

x=5

04

Step 4. Final answer:

The value of xis5.

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