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Chapter 8: Q15. (page 291)

State an equation you could use to find the value of x. Then find the value of x in simplest radical form.

Short Answer

Expert verified

The required value of x is,

x=12.

Step by step solution

01

Step 1. Given information.

We have given a figure as shown below.

02

Step 2. Use Pythagorean Theorem concept.

From Pythagorean Theorem,

we know that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

The given triangle is right triangle.

Therefore,

52+x2=x+1225+x2=x2+2x+125=2x+125鈭�1=2x24=2xx=12

03

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the required value of x is, x=12.

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Most popular questions from this chapter

Use the diagram to complete each statement.

If m鈭�R=k, then m鈭�RSU=?,

m鈭�TSU=?, and m鈭�T=?.

Simplify.

800

State an equation you could use to find the value of x. Then find the value of x in simplest radical form.

Complete the simplification.

52

Find the value of x from the given figure.
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