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Chapter 8: Q13. (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=51

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,

x2+72=102x2=102鈭�72=100鈭�49=51

03

Step 3. Taking square root. 

we get,

x=卤51

04

Step 4. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

The required value of x is, x=51.

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Most popular questions from this chapter

The arithmetic mean between two numbers rand sis defined to be r+s2.

a. CM炉 is the median and CH炉 is the altitude to the hypotenuse of right 螖ABC. Show that CM is the arithmetic mean between AH and BH, and that CH is the geometric mean between AH and BH. Then use the diagram to show that the arithmetic mean is greater than the geometric mean.

b. Show algebraically that the arithmetic mean between two different numbers r and s is greater than the geometric mean.

a.

Refer to the figure at the right.

If JM=3and MK=9, find LJ.

Find the values of x,y,and z.

Find the length of the diagonal of the square with perimeter is 16.

Find the geometric mean between the two numbers.

22and 55
See all solutions

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