Question

diagonal of parallelogram​

Answer 1

Answer:

parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Some of the properties of a parallelogram are that its opposite sides are equal, its opposite angles are equal and its diagonals bisect each other.

FormulasMath FormulasDiagonal Of Parallelogram Formula

Top Banner

Diagonal of Parallelogram Formula

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.

Diagonal of a Parallelogram

Where,

p,q are the diagonals

a,b are the parallel sides

p=a2+b2−2abcos(A)−−−−−−−−−−−−−−−−√=a2+b2+2abcos(B)−−−−−−−−−−−−−−−−√

q=a2+b2−2abcos(A)−−−−−−−−−−−−−−−−√=a2+b2−2abcos(B)−−−−−−−−−−−−−−−−√

p2+q2=2(a2+b2)

Solved Examples

Question 1:

Find the diagonal of a parallelogram with sides 3 cm, 5 cm and angle 45 degrees ?

Solution:

Given a = 3 cm

b = 5 cm

angle A = 45°

Formula of diagonal is,

q = a2+b2−2abcosA−−−−−−−−−−−−−−√

q = 32+52–2×3×5cos45−−−−−−−−−−−−−−−−−−√

q = 34–30×0.525−−−−−−−−−−−√

q = 4.27 cm

Diagonal of parallelogram = 4.27

• I hope it helps you
• thank you for giving a chance to answer your question.i love helping people
• just feel the answer brainlist no need to mark it

• thank you