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stealth61 [152]
3 years ago
9

The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angle

s A, B and C
Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively

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Now, for the equation that we're trying to find, all that they give us is their slope, and a point that it passes through. How do we get the slope? Perpendicular line's slopes are negative reciprocals of each other. This means that you flip the coefficient of the x around, and multiply it by negative 1. So, we see that the given slope of the other line is -4/5. That means, we flip it around (-5/4), them multiply it by -1, which means the slope of our new line is 5/4. Now, we have the x, but what do we do with the point? We plug it into the point-slope formula

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