Question

Сторона ромба дорівнює 10 см а одна з діагоналeй 16 см.Знайти другу діагональ ромба

Answer 1

Друга діагональ за теоремою Піфагора= 2* √(10*10 - 8*8)=12

Answer 2

Finding the Second Diagonal of a Rhombus

To find the length of the second diagonal of a rhombus, we can use the properties of a rhombus.

A rhombus is a quadrilateral with four equal sides. It also has two pairs of opposite congruent angles. The diagonals of a rhombus bisect each other at right angles.

Given that one side of the rhombus is 10 cm and one of the diagonals is 16 cm, we can find the length of the second diagonal.

Let's denote the length of the second diagonal as 'd2'.

To find 'd2', we can use the formula:

d2 = 2 * sqrt(a^2 - (d1/2)^2)

Where: - 'a' is the length of one side of the rhombus (10 cm in this case). - 'd1' is the length of one of the diagonals (16 cm in this case).

Plugging in the values, we get:

d2 = 2 * sqrt(10^2 - (16/2)^2)

Simplifying further:

d2 = 2 * sqrt(100 - 64)

d2 = 2 * sqrt(36)

d2 = 2 * 6

d2 = 12 cm

Therefore, the length of the second diagonal of the rhombus is 12 cm.