Question

The length of the side of a rhombus is 25 cm. One of its diagonals is 30 cm long. What is the length of its other diagonal?

Answer 1

Answer:40cm

Step-by-step explanation:in a Rhombus the diagonals bisect each other and at right angles,

so by Pythagoras theorem the that triangle

15^2+X^2=25^2

225+X^2=625

X^2=625-225

X^2=400

X=20

and therefore the length of the diagonal is 40 cm

Answer 2

The length of the other diagonal of the rhombus is also 30 cm.

• A rhombus is a special type of quadrilateral with four equal sides. The length of the sides of a rhombus can be found using the length of its diagonals.

• The relationship between the sides and diagonals of a rhombus can be described using the following formula:

$d1 * d2 = 2 * s^2$

where d1 and d2 are the lengths of the diagonals and s is the length of a side.

Given that one diagonal of the rhombus is 30 cm and the length of a side is 25 cm, we can find the length of the other diagonal using the formula above:

$d1 * d2 = 2 * 25^2$

$30 * d2 = 2 * 625$

$d2 = 2 * 625 / 30$

d2 = 30 cm

Therefore, the length of the other diagonal of the rhombus is also 30 cm.

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