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Yogita Ingle 6 years, 1 month ago
Using Pythagoras' theorem, substitute in the values of the non-parallel side and the altitude:
10² = 8² - x²
x² = 36
x = 6
Therefore the base of the right-angled triangles is 6cm.
If we let the shorter parallel side of the trapezium = x, the longer parallel side will = x + 12.
P = x + x + 12 + 10 + 10 = 52
2x = 20
x = 10
Therefore the side lengths of the trapezium are 10, 10, 10 and 22.
A = h/2(a + b)
= 8/2 x 32
= 4 x 32
= 128cm²
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Yogita Ingle 6 years, 1 month ago
Formula of Area of a trapezium = ¹/₂ × (sum of parallel sides) × (distance between them)
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Yogita Ingle 6 years, 1 month ago
Perimeter = 140cm
Side = 140 ÷ 4
= 35 cm
Altitude= 2cm
Base= 35cm
Area = Altitude × Base
= 2 × 35
= 70 cm
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Yogita Ingle 6 years, 2 months ago
Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point.
Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.
(i) <nobr aria-hidden="true">1/2</nobr> is a rational fraction of form <nobr aria-hidden="true">p/q</nobr>. When this rational fraction is converted to decimal it becomes 0.5, which is a terminating decimal fraction.
Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever). They don’t come to end or if they do it is after a long interval.
For example:
π = (3.141592653589793238462643383279502884197169399375105820974.....) is an example of non terminating decimal as it keeps on continuing after decimal point.
(i) <nobr aria-hidden="true">1/3</nobr>is a rational fraction of form <nobr aria-hidden="true">p/q</nobr>. When we convert this rational fraction into decimal, it becomes 0.333333… which is a non terminating decimal.
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Tanvi Shedge 6 years, 1 month ago
1Thank You