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Chapter 8: Q31. (page 289)

Find the values of x,y,and z.

Short Answer

Expert verified

The value is x=10,y=229,z=529.

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 4 and 25.

So,

x=4鈰�25=22鈰�52=10

03

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

Substitute the values and calculate.

z2=252+102z2=625+100z2=725z=25鈰�29..............[takesquarerooteachside]z=529

And,

y2=42+102y2=16+100y2=116y=4鈰�29..............[takesquarerooteachside]y=229

Therefore, the value is x=10,y=229,z=529.

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