Question

one of the diagonals of a rhombus is equal to one of its sides. Find the angles of rhombus​

Answer 1

Step-by-step explanation:

Let PQRS be the rhombus as shown below:

Now, let diagonal QS of rhombus PQRS be equal to one of its side RS.

Hence, PQ = QR = RS = SP = QS ...(since all sides of rhombus are equal)

SRQ and SPQ are equilateral triangles.

Now,

Hence,one of the diagonals of a rhombus is equal to one of its sides. Find the angles of rhombus

Answer 2

Answer:

diagonal of rhombus is equal to side of rhombus (given)

diagonal divide the Rhombus into two equal parts so it form equilateral triangle

Let  all the angle be 60 °

∠BAC =∠ ABC = ∠BCA = 60°  

∠ B  = 60°

∠D = 60°

∠ B + ∠ D + ∠ A + ∠ C = 360°

60 ° + 60°+ x + x = 360°

2x = 360 - 120

2x = 240

x = 120

∠A = 120°

∠ B= 60°

∠C= 120°

∠ D= 60°