The area of the rhombus is 30 and the perimeter is 24. Find the height of the rhombus.

The area of the rhombus is 30 and the perimeter is 24. Find the height of the rhombus. Find the area of a right-angled triangle if the leg and hypotenuse are 40 and 85, respectively.

Since the rhombus has the same side lengths, AB = BC = CD = AD = Ravsd / 4 = 24/4 = 6 cm.
The area of the rhombus is equal to: Savsd = AD * ВН.
ВН = Savsd / BP = 30/6 = 5 cm.
Answer: The length of the height of the rhombus is 5 cm.

By the Pythagorean theorem, we determine the length of the leg AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 7225 – 1600 = 5625.
AC = 75 cm.
Determine the area of the triangle. Savs = AC * BC / 2 = 75 * 40/2 = 1500 cm2.
Answer: The area of the triangle is 1500 cm2.