5. The measures of two sides of a parallelogram are 50 and 80 inches, while one diagonal
1 answer:
Answer:
Other diagonal is 98.5 inches long.
Step-by-step explanation:
Formula to get the measure of diagonals of a parallelogram is,
where x and y are the lengths of the diagonals and a and b is the measure of two non parallel sides.
If a = 50 inches, b = 80 inches and x = 90 inches,
then from the given formula,
90² + y² = 2(50² + 80²)
y² = 2(2500 + 6400) - 8100
y² = 17800 - 8100
y =
y = 98.49
≈ 98.5 inches
Therefore, other diagonal of the parallelogram is 98.5 inches long.
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Answer:
Step-by-step explanation:
Distance between two points and
is given by the formula,
Distance =
a). A(-6, -4), B(-3, -1)
Distance between A and B =
=
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D =
=
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance =
=
= 10√2
= 14.14
≈ 14.1 units