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Q4.

Expert-verified
Geometry
Found in: Page 292
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Illustration

Short Answer

Find the value of x from the given figure.

The value of x is 210.

See the step by step solution

Step by Step Solution

Step 1. Given information.

The two sides are given 9 and 11.

Step 2. Theorem used.

We use Pythagorean Theorem.

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

Step 3. Now find the value.

Substitute the values and calculate.

92+x2=11281+x2=121x2=40

Taking square root we get.

x=±40x=±210

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

Therefore, the value of x is 210.

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