diff --git a/Grade 10/Math/MPM2DZ/Unit 4: Trigonometry.md b/Grade 10/Math/MPM2DZ/Unit 4: Trigonometry.md index 695d464..8bed839 100644 --- a/Grade 10/Math/MPM2DZ/Unit 4: Trigonometry.md +++ b/Grade 10/Math/MPM2DZ/Unit 4: Trigonometry.md @@ -62,7 +62,7 @@ If three sides of a triangle are respectively equal to the three sides of anothe ### Side-Angle-Side (SAS) If two sides and the **contained** angle of a triangle are respectively equal to two sides and the **contained** angle of another triangle, then the triangles are congruent. - + ### Angle-Side-Angle (ASA) If two angles and the **contained** side of a triangle are respectively equal to two angles and the **contained** side of another triangle, then the triangles are congruent. @@ -91,12 +91,12 @@ our big triangle's area is equal to $`\dfrac{k^2bh}{2}`$. Similar equations and Three pairs of corresponding sides are in the **same ratio** - + ### Side Angle Side similarity (RAR $`\sim`$) Two pairs of corresponding sides are proportional and the **contained** angle are equal. - + ### Angle-Angle similarity (AA $`\sim`$) Two pairs of corresponding angles are equal. In the diagram below, we can solve for the missing angle using Angle Sum Of A Triangle Theorem (ASTT) and see that those 2 triangle's angles are equal. @@ -166,7 +166,7 @@ In the ambigouous case, if $`\angle A, a, b`$ are given, the height of the trian |Case|If $`\angle A`$ is **obtuse**|Condition|# & Type of triangles possible| |:---|:----------------------------|:--------|:-----------------------------| |5 ||$`a \le b`$|no triangle exists| -|6 ||$`a \gt b`$|one triangle exists| +|6 ||$`a \gt b`$|one triangle exists| ## Cosine Law