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3 years ago

Q.Take out the area of the trapezium.Parallel sides-15,23Non parallel sides-10,8

Mathematics

2 answers:

-Dominant- [34]3 years ago

8 0

Answer:

i think the person who had answer in first is right

Dmitriy789 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Area of a trapezium is the average of the parallel sides times the distance between them.

If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.

Let the base be split into two segments, call one A, the other will be 8 - A

From Pythagoras.

10² - A² = h² = 8² - (8 - A)²

10² - A² = 8² - (8 - A)²

100 - A² = 64 - (64 - 16A + A²)

100 - A² = 64 - 64 + 16A - A²

100 = 16A

A = 6.25

h = √(10² - 6.25²)

h = √60.9375

A = ½(15 + 23)√60.9375

A = 148.31870246... ≈ 148.3 cm²

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