Question

* 8th NCERT MATHS SIGHT
LESSON 9
EX.: 9.2 *
8. If the length of a rhombus is equal to the length of one of its diagonals, find the angels of the rhombus.​

Answer 1

One of the diagonals of a rhombus is equal to one of its sides.

We know that a rhombus has four equal sides.If one side has the same length as a diagonal,the diagonal is part of two equilateral triangles.Since a rhombus has four sides we can say ,

Rhombus=ABCD, where AB=diagonal of AC,

Since the triangle ABC is equilateral and so angle ABC=60.

To solve the problem we can make an equation.

60+x=180

Solving,

60+x=180

180−60=x

x=120

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