Math, asked by palmalti383, 1 month ago

parallelogram is 70 cm, find the sides of the parallelog
90
ABCD is a parallelogram whose diagonals intersect each other at right angles. It
he length of the diagonals is 6 cm and 8 cm, find the lengths of all the sides of
the parallelogram.
la cant sides of​

Answers

Answered by krprem1989
35

Answer:

ABCD is a parallelogram whose diagonals intersect each other at O with 90°.

so it's a rhombus as diagonals of rhombus interest each other at right angles.

diagonal 1 (AC) = 6cm

diagonal 2(BD) = 8cm

OD = OB = 3cm each

OA = OC = 4cm each

Let, us take triangle AOB

it is a right angled triangle

=> (OA)² + (OB)² = (AB)²

=> (4)² + (3)² = (AB)²

=> 16 + 9 = (AB)²

=> 25 = (AB)²

=> = AB

=> 5 = AB

So, AB = 5cm

AB = BC = CD = AD (all sides of rhombus are equal)

Each side of the parallelogram ABCD is 5cm.

Answered by vrunda73
11

Answer:

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