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Chapter 5: Q18 (page 187)

GM炉is a median of right 螖IRG

Ifm鈭�4=7x-3 and m鈭�3=6x+1find the value of x.

Short Answer

Expert verified

The value of x is 9.

Step by step solution

01

Step 1. Description of step.

The length of the median is equal to half the length of the hypotenuse.

Therefore, MI=MG.

02

Step 2. Description of step.

Consider 螖GMI, in which MI=MGthen by isosceles triangle theorem, m鈭�3=m鈭�4.

03

Step 3. Description of step.

Substitute 7x鈭�3for m鈭�4and 6x+1for m鈭�3into m鈭�3=m鈭�4.

7x鈭�3=6x+17x鈭�3=6x+6x=9

Therefore, the value of x is 9.

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