Based on the given angle measures which triangle has side lengths measures that could be correct

Mathematics

1 answer:

mezya [45]3 years ago

6 0

The second triangle would be the one that is correct.

Triangles' angle measures correspond to the length of their opposite sides. So 60 degrees corresponds to 14, 90 degrees corresponds to 16.1, and 30 degrees corresponds to 8.

The largest angle in a triangle will have the longest side across from it. This is how we know that the first triangle is not the correct answer, as the largest angle does not have the longest corresponding side.

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(Score for Question 3:

joja [24]

Answer:

It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines

Step-by-step explanation:

<u>Claim</u>: it's a 90 degree rotation around the intersection of f and g.

It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection $x_0$ , but slightly to the side, around let's say, $x_0+\epsilon$ ; the new line will coincide with $g(x)$ if and only if $\epsilon = 0$ , ie only the rotation happens around the intersection.