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Chapter 8: Q35. (page 289)

Find the values of x,y,and z.

Short Answer

Expert verified

The value is, x=275,y=485,z=365.

Step by step solution

01

Step 1. Given information.

The given figure is,

02

Step 2. Concept used.

The small right triangle with base \[x\] is similar to the large right triangle.

So,

915=x992=15x[multiplyeachsideby15鈰�9]x=8115[divideeachsideby15]x=275

x+y=15y=15鈭�x[subtractxfromeachside]y=15鈭�275y=485

03

Step 3. Use geometric mean concept.

z is the geometric mean of x and y .

z=x鈰�yz=275鈰�485z=365

Therefore, value is x=275,y=485,z=365.

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