What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
1 answer:
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1.) Solve for length b.
The simpler method is to use the Pythagorean theorem. If , then this means that
.
Plug in the values:
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So this means that b is the square root of 72, which is 8.49
2.) Solve for ∠A.
Let's refer to the law of sines. If , then this means we can cross multiply. Since A is the value we are solving for, the equation should be written out like this:
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A is 39.52°
3.) Solve for ∠B.
This is the easiest one. The sum of all three angle measures in a triangle add up to 180°. We already know that one of the angles is a right angle and the other 39.52°.
39.52 + 90 = 129.52
180 - 129.52 = 50.48
∠B is 50.48°.
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
Learn more about Pythagorean theorem here:
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