Bissoy.com
Doctors Medicines MCQs Q&A

If one of the diagonals of a rhombus is equal to its side, then the other diagonals of the rhombus is equal to what times the known diagonal :

If one of the diagonals of a rhombus is equal to its side, then the other diagonals of the rhombus is equal to what times the known diagonal : Correct Answer √3

[ alt="40 (1)" src="//storage.googleapis.com/tb-img/production/18/02/40%20%281%29.png" style="height:171px; width:250px">

AC = AD

ΔADC is an equilateral triangle as all sides are equal

∠ADC = 60°

So ∠ODC = 30° As it rhombus diagonals bisect the angles

So OC = OD tan30° = OD/√3

AC = 2OD/√3 = BD/√3

BD = AC√3

Related Questions

There is a rhombus of side 6 cm. One of the diagonal of the rhombus is equal to the side of the rhombus. An isosceles triangle is formed whose two equal sides are equal to another diagonal of the rhombus and the third side is equal to 8 cm. Find the area of the triangle.
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
The area of the square is 125/64th of the area of the rhombus. One of the diagonals of rhombus is 9 cm less than the side of square whose diagonal is 25√2 cm then find the other diagonal of the rhombus (in cm)?
Which of the following statements is/are true? A: If the sides of an equilateral triangle becomes 2√2 times, then its area will become 4√6 times. B: If the distance between any two parallel sides of a rhombus is 25% less than its diagonal, then its other diagonal will be 50% more than its side. C: If ratio between altitude and base of a right-angled triangle is 3: 5, then the ratio between its hypotenuse and base will be √30: 5.
One diagonal of a rhombus is 25% more than the other diagonal. The area of the rhombus is 40 cm2. A circle is drew starting from one of the vertices of the rhombus in such a way that the rhombus is completely inside the circle. What is the area of such a circle?
If one diagonal of the rhombus is of length 16 cm, and side of rhombus is 2 cm less than the other diagonal (in whole number), then find the area of the rhombus.
The smaller diagonal of a rhombus is equal to the length of its sides. If the length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?
Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in square cm) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?