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Class 9th
Chapter Quadrilaterals
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area of rhombus= product of diagonal
Exercise 8.1 Page: 146. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Solution: Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
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Step-by-step explanation:
the important steps are given the other dialogue stuffs you can write them.
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If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to 15 cm
Step-by-step explanation:
GIVEN
Diagonal₁ = 18 cm
Diagonal₂ = 24 cm
___________________________
TO FIND
If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
___________________________
We know that,
To find the side of a we need to use hypotenuse theorem
We know that,
Hypotenuse Theorem
Hypotenuse² = Base² + Height²
Here,
Hypotenuse = Side = ?
Base = Diagonal₁ / 2 = 18 / 2 = 9 cm
Height = Diagonal₂ / 2 = 24 / 2 = 12 cm
We know that,
Hypotenuse² = Base² + Height²
Hypotenuse² = 9² + 12²
Hypotenuse² = 81 + 144
Hypotenuse² = 225
Hypotenuse² = √225
Hypotenuse = 15
Hypotenuse = 15 cm
Side = 15 cm
If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to 15 cm
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