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One of the diagonals of a rhombus is equ...

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

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To solve the problem, we need to find the angles of a rhombus when one of its diagonals is equal to one of its sides. Let's denote the rhombus as ABCD, where AB = BC = CD = DA (all sides are equal). We will denote the diagonal AC as being equal to side AD. ### Step-by-Step Solution: 1. **Understanding the Properties of a Rhombus**: - All sides of a rhombus are equal. - The diagonals of a rhombus bisect each other at right angles. - Opposite angles are equal, and the sum of adjacent angles is 180 degrees. ...
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Knowledge Check

  • If one of the diagonals of a rhombus is equal to its side, then the diagonals of the rhombus are in the ratio

    A
    `sqrt(3):1`
    B
    `sqrt(2):1`
    C
    `3:1`
    D
    `2:1`

  • If one of the diagonals of a rhombus is equal to its side, then the diagonals of the rhombus are in the ratio

    A
    `sqrt3:1`
    B
    `sqrt2 :1`
    C
    `3:1`
    D
    `2:1`

  • One diagonal of a rhombus is 24 cm whose side is 13 cm. Find the area of the rhombus.

    A
    25 sq. cm
    B
    312 sq. cm.
    C
    125 sq. cm.
    D
    120 sq. cm.

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