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Chapter 5: Q12 (page 187)

Quad. SLTM is a rhombus.

Ifm鈭�1=3x+8 andm鈭�2=11x-24 find the value of x.

Short Answer

Expert verified

The value of x is 4.

Step by step solution

01

Step 1. Description of step.

Diagonals of a rhombus bisect the vertex angles.

Here, 鈭�LSMis divided into 鈭�1and鈭�2, that is, m鈭�1=m鈭�2.

02

Step 2. Description of step.

Substitute 3x+8for m鈭�1and 11x鈭�24into m鈭�1=m鈭�2.

3x+8=11x鈭�2411x鈭�3x=24+88x=32

03

Step 3. Description of step.

Divide each side of the obtained equation in steps 2 by 8 to find the value of x.

8x8=328x=4

Therefore, the value of x is 4.

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