diff --git a/Grade 10/Math/MPM2DZ/Trig Quiz 1.md b/Grade 10/Math/MPM2DZ/Trig Quiz 1.md index 98fd57b..1aba40e 100644 --- a/Grade 10/Math/MPM2DZ/Trig Quiz 1.md +++ b/Grade 10/Math/MPM2DZ/Trig Quiz 1.md @@ -1,6 +1,47 @@ # Question 1 ```math -\text{ draw a perpendicular line from } A \text { to } BC \\ + +\because \angle B^\prime = \angle B \quad (\text{Corresonding Line theorem}) \\ + +\because \angle C^\prime = \angle C \quad (\text{Corresponding Line theorem}) \\ + +\therefore \triangle AB^\prime C^\prime \sim \triangle ABC \quad (\text{ AA } \sim) \\ \\ + +\therefore \dfrac{AB^\prime}{B^\prime C^\prime} = \dfrac{AB}{BC} \\ + +\quad \\ + + +\therefore \dfrac{30}{14} = \dfrac{30+x}{22} \\ \\ + +\quad \\ + +14(30+x) = 22(30) \\ + +\quad \\ + +x = \dfrac{22(30)}{14} - 30 \\ + +\quad \\ + +x = 17.1428571 \approx 17.14 +``` + +```math + +\dfrac{AC^\prime}{B^\prime C^\prime} = \dfrac{AC}{BC} \\ + +\quad \\ + +\dfrac{y}{14} = \dfrac{y+15}{22} \\ + +\quad \\ + +22y = 14y + 14(15) \\ + +8y = 14(15) \\ + +y = 26.25 ``` \ No newline at end of file