Mathematics, 29.07.2019 15:30 aliami0306oyaj0n

Which group of measurements could be the side lengths of a right triangle? a. 57 in, 86 in, 95 in b. 47 in, 76 in, 95 in c. 57 in, 76 in, 95 in d. 57 in, 76 in, 105 in

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Answer from: mani050

In right angled triangles, according to Pythagoras' theorem, squared of the hypotenuse is equal to the sum of the squares of the other 2 sides of the triangle.
if the hypotenuse is H and other 2 sides are A and B, then equation is as follows;
H² = A² + B²

1. A - 57 in. B - 86 in.
H² = A² + B²
H² = 57² + 86²
H² = 3249 + 7396
H = √10645
= 103.17 in.
third side given is not 103 in therefore this is not a right angled triangle

2. A - 47 in. B - 76 in.
H² = A² + B²
H² = 47² + 76²
= 2209 + 5776
H = √7985
H = 89.3 in.
third side given is 95 in. therefore this is not a right angled triangle.

3. A- 57 in. + B - 76 in.
H² = A² + B²
H² = 57² + 76²
= 3249 + 5776
H = √9025
H = 95 in.
third side given is 95 in. therefore this is a right angled triangle.

4. A - 57 in. B - 76 in.
As calculated in the third equation with the same side lengths of A and B, hypotenuse should be 95 in. however the third side length given is 105 in. so this is not a right angle triangle

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

step-by-step explanation:

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Which group of measurements could be the side lengths of a right triangle? a. 57 in, 86 in, 95 in...