Question

Help please it would be nice! and show work

Answer 1

Explanation:

Given,

• GRAM is a parallelogram
• RG = 19
• RP = 12
• AR = 15

Solution:

i) Since,

Diagonals of a parallelogram bisect each other so,

RM = 2 × RP

=> RM = 2 × 12

=> RM = 24 (Ans)(i)

ii) Since,

Opposite sides of a parallelogram are equal so,

GM = AR = 15

=> GM = 15 (Ans)(ii)

iii) Since,

Opposite sides of a parallelogram are equal so,

AM = RG = 19

=> AM = 19 (Ans)(iii)

Answer 2

Given :

GRAM is a parallelogram where

• RG = 19
• RP = 12
• AR = 15

Solution :

We know that,

• Opposite sides of a parallelogram are equal in length.
• Diagonals of a parallelogram bisect each other.

So,

RG = 19

⇢ RG = AM [Opposite sides]

⇢ AM = 19 .

Since,

⠀⠀RP = 12

⇢ RM = 2(RP) [Diagonals bisect each other]

⇢ RM = 2(12)

⇢ RM = 24

Since,

⠀⠀AR = 19

⇢ AR = GM [Opposite sides]

⇢ GM = 15 .