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Chapter 8: Q6. (page 292)

Find the value of x from the given figure.

Short Answer

Expert verified

The value of x is 45.

Step by step solution

01

Step 1. Given information.

The two sides are given 8 and 20.

02

Step 2. Theorem used.

We use Pythagoras Theorem.

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

03

Step 3. Now find the value.

Simplify and do the calculation.

82+x2=12264+x2=144x2=80

Taking square root we get.

x=卤80x=卤45

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

Therefore, the value of xis 45.

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