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hammer [34]
3 years ago
11

Which of the following sets of lengths can Sean use to make a right triangle?

Mathematics
1 answer:
love history [14]3 years ago
5 0

If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:

8² + 15² = 17²

If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time.  But for now let's just exhaustively check the Pythagorean Theorem for each triangle.  We don't have to multiply everything out; we can analyze the common factors.  If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

15²-5² is a multiple of 5, 13² isn't, no joy.

8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.

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What are the ratio of 1:6 and 3:8, 2:14and 3:42
GrogVix [38]

The ratio of 1:6 is 1/6

The ratio of 3:8 is 3/8

The ratio of 2:14 is 1/7

The ratio of 3:42 is 1/14

<em>Please mark brainliest if that helped!</em>

3 0
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son4ous [18]
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3 years ago
Identify the conclusion of the following conditional:
const2013 [10]
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.This statement is a conditional statement. However, it is not in its standard form. A conditional statement is known as an If-then statement.

It should be written as:

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3 0
2 years ago
Read 2 more answers
A circle with radius of 4cm sits inside a circle with radius of 11cm.
sweet-ann [11.9K]

Answer:

Area of shaded region = 329.70 cm²

Step-by-step explanation:

Area of a circle = πr²

Area of bigger circle = 3.14 × 11²

= 3.14 × 11 × 11

= 379.94 cm²

Area of smaller circle = 3.14 * 4²

= 3.14 × 4 × 4

= 50.24 cm²

Area of shaded region

= Area of bigger circle - Area of smaller circle

= (379.94 - 50.24) cm²

= 329.70 cm²

6 0
3 years ago
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