The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?
2 answers:
Answer: The correct option is (A) 0.75.
Step-by-step explanation: Given that the two right-angled triangles in the figure are similar. We are to find the ratio of the height to the base for the triangles.
In the first triangle,
height, h = 6 units and base, b = 8 units,
In the second triangles,
height, h' = 3 units and base, b' = 4 units.
Since the two triangles are similar, so the corresponding sides will be proportional.
We can see that
Hence, we can write
Therefore, the ratio of the height to the base of the triangles is 0.75.
Thus, (A) is the correct option.
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Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f
<u>Step-by-step explanation:</u>
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... <em>(add zero to the Natural numbers)</em>
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... <em>(add negatives to the Whole numbers)</em>
d) Rationals: Add terminating and repeating decimals to Integers.
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e) Irrationals: Non-repeating decimals that are non-terminating. <em>This is its own category so cannot be a Rational number or above.</em>
f) Real Numbers: ALL of the above (a - e) are Real numbers.
1) -5.2 has a terminating decimal so it is a RATIONAL number.
2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #
3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number
4) = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.
5) is a non-terminating decimal so it is an IRRATIONAL number