Question

Using the same triangle as above, provide a value for the measure of angle A. Use this value, along with the values you have provided in question 3, to calculate the length of side c and the measure of angle B. The value of A should be between 20 and 70 and cannot be the same as angle C.

Answer 1

Explanation:

Since the triangle is a right triangle, we know angle B is 90

Then, we know A and C have to make 90 to

so if A has to be between 20 and 70, we can pick 21

as long as A and C make 90, if A is 21, then C is 69

since 21 + 69 = 90

Since it's a right triangle, we can use pythagoran theorem to find c

a² + b² = c²

c =
`\sqrt{a^(2) + b^(2) }`

then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c