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Help please it would be nice! and show work

Help please it would be nice! and show work-example-1
User Moti
by
6.1k points

2 Answers

8 votes

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)

User Rohr Facu
by
7.7k points
13 votes

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 .

User Rob Johnston
by
7.9k points