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Chapter 8: Q34. (page 289)

Find the values of x,y,and z.

Short Answer

Expert verified

The value is, x=8,y=82,z=82.

Step by step solution

01

Step 1. Given information.

The given figure is,

02

Step 2. Use geometric mean concept for x.

x is the geometric mean of 8 and 8.

So,

x=8鈰�8=8

03

Step 3. Now, Use Pythagoras Theorem in right angled triangles to find y and z :

z2=82+82z2=2鈰�82z=2鈰�82[takesquarerooteachside]z=82

y2=82+82y2=2鈰�82y=2鈰�82[takesquarerooteachside]y=82

Therefore, the value is x=8,y=82,z=82.

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