Answer:
43. 11.1
44. 16.7
45. 8.6
Explanation:
We can find the missing side length of each triangle by using the Pythagorean Theorem. For any right triangle, the length of the hypotenuse squared is equivalent to the sum of the squares of both legs. Or:
a² + b² = c²
where a and b are the legs of the triangle, and c is the hypotenuse.
43. The hypotenuse is the longest side of the triangle, which is always the side opposite of the 90° angle. In this case, the hypotenuse is 13.2.
7.2² + b² = 13.2² ⇒ b² = 13.2² - 7.2² ⇒ b² = 122.4 ⇒ b = √122.4 ⇒ b ≈ 11.1
44. The two values given are the two legs of the triangle. Therefore our equation is:
10² + 13.4² = c² ⇒ c² = 279.56 ⇒ c = √279.56 ⇒ c ≈ 16.7
45. The hypotenuse is given in this question, which means we need to find the length of the second leg.
3.5² + b² = 9.3² ⇒ b² = 9.3² - 3.5² ⇒ b² = 74.24 ⇒ b = √74.24 ⇒ b ≈ 8.6