A diagonal of a parallelogram is also its altitude. What is the length of this altitude, if the perimeter of the parallelogram i
s 50 cm, and the length of one side is 1 cm longer than the length of the other?
1 answer:
Answer:
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
<u>Perimeter of parallelogram = 2(a + b) = 2(x +(x + 1)) = 4x + 2 = 50 cm</u>
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
<u>AC² = 13² - 12² = 5 cm</u>
<u>The length of this altitude is 5 cm.</u>
You might be interested in
For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?
well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore
well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore