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PLEASE HELP this is due soon, I will mark brainliest if I can.
The diagonals of rhombus PQRS (not drawn to scale) intersect at point T.
If PR= 24 cm and SQ= 45 cm, find the perimeter of rhombus PQRS. ​

PLEASE HELP This Is Due Soon I Will Mark Brainliest If I Can The Diagonals Of Rhombus PQRS Not Drawn To Scale Intersect At Point TIf PR 24 Cm And SQ 45 Cm Find class=

Sagot :

Answer:

  • 102 cm

Step-by-step explanation:

  • Diagonals of a rhombus are perpendicular.
  • Sides are of equal length.

Use Pythagorean to work out the side length.

  • a² = (d₁/2)² + (d₂/2)²
  • a² = (24/2)² + (45/2)² = 650.25
  • a = √650.25
  • a = 25.5 cm

The perimeter is:

  • P = 4a
  • P = 4*25.5 = 102 cm

Answer:

102 cm is the perimeter of the rhombus