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Katherine F.

Native English speaker tutoring Maths and Operations Research (also known as graph theory or decision maths)

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Trigonometry

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Question:

If I have a triangle with a hypotenuse of length 5, and a side of length 4 what is the length of the 3rd side?

Katherine F.

Answer:

3. Pythagoras's theorem states that a^2 + b^2 = c^2. We know we have a hypotenuse of length 5, so c = 5. One of the other edges has a length of 4 so a = 4. 5^2 = 25 and 4^2 = 16. 5^2 - 4^2 = 25 - 16 = 9. As the squared root of 9 is 3 our answer is 3.

C++ Programming

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Question:

Write a function to calculate the hypotenuse of a right angled triangle where the other two sides are given as inputs. (You can assume that <cmath> has been loaded in the header file.)

Katherine F.

Answer:

int hypotenuse( int side_a, int side_b) { int side_c = sqrt(side_a*side_a + side_b*side_b); return side_c; }

Algebra

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Question:

What is the slope or gradient of the line going through the points (4,-2) and (6,7)?

Katherine F.

Answer:

(4-6)/(-2-7) = -2/-9 = 2/9 This can equally be calculated by (6-4)/(7-(-2)) = 2/(7+2) = 2/9 To calculate this question in general you need to calculate the difference in the x-coordinate divided by the difference in the y-coordinate.

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