Adiagonal of a parallelogram is also its altitude. what is the length of this altitude, if the perimeter of the parallelogram is 50 cm, and the length of one side is 1 cm longer than the length of the other?

The length of this altitude is 5 cm.

Step-by-step explanation:

The length of the altitude = ?

Given the diagonal forms the altitude of the parallelogram. The figure is shown in image.

Given

The perimeter of the parallelogram = 50 cm

The length of one side is 1 cm longer than the length of the other.

Thus,

Let one side (a) is x cm, The other side (b) be (x + 1) cm

Perimeter of parallelogram = 2(a + b) = 2(x +(x + 1)) = 4x + 2 = 50 cm

Thus,

x = AB = CD = 12 cm

x + 1 = BC = AD = 13 cm

Using Pythagorean theorem to find the length of the altitude as:

ΔABC is a right angle triangle.

AB² + AC² = BC²

AC² = 13² - 12² = 5 cm

The length of this altitude is 5 cm.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐