the diagonals of a rhombus measure 8 cm by 6 cm what is the length of a sise of the rhombus
Answers
Answer:
Given :
The diagonal of a rhombus measures 8 cm and 6 cm.
To find :
Length of a single of the rhombus.
Solution :
1st Diagonal = 8 cm
2nd Diagonal = 6 cm
The diagonals devide the rhombus into 4 congruent right triangles.
Each side of the rhombus is the hypotenuse of one triangle.
So,
Each leg of one of those triangles is half of one diagonal.
According to the attachment ,
AB = Side of rhombus
AC = 8 cm
BD = 6 cm
Therefore,
BO = 6/2 = 3 cm
AO = 8/2 = 4 cm
∆ AOB is a right triangle.
According to Pythagoras theorem ,
AB² = AO² + BO²
→ AB² = 4² + 3²
→ AB² = 16+9
→ AB = √25
→ AB = 5
Therefore, the length of the side of the rhombus is 5 cm.
Answer:
5
Step-by-step explanation:
As diagonal of rhombus perpendicularly bisect each other
there for
(8/2) ²+(6/2) ²
=4²+3²
16+9
=25=5²
therefore 5 is answer
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