adebisijide15
adebisijide15 adebisijide15
  • 15-08-2020
  • Mathematics
contestada

The diagonals of a rhombus are 16cm and 12cm long.Calculate the length of its side​

Respuesta :

jimrgrant1 jimrgrant1
  • 15-08-2020

Answer:

10 cm

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

All sides are congruent.

The diagonals divide the rhombus into 4 congruent right triangles.

Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then

s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

s = [tex]\sqrt{100}[/tex] = 10

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