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Chapter 5: Q19 (page 187)

GM炉is a median of right 螖IRG

If GM=2y+3and RI=12-8yfind the value of y.

Short Answer

Expert verified

The value of y is 12.

Step by step solution

01

Step 1. Description of step.

For the right-angled triangle, the median is half of the hypotenuse.

Therefore, GM=RI2.

02

Step 2. Description of step.

Substitute 2y+3for GMand 12鈭�8yfor RIinto GM=RI2.

2y+3=12鈭�8y222y+3=12鈭�8y4y+6=12鈭�8y12y=6

03

Step 3. Description of step.

Divide each side of the obtained equation in steps 2 by 6 to find the value of y.

12y12=612y=12

Therefore, the value of y is 12.

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