Let triangle ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB.
If BC = 5 and AC = 12 and angle C = 90 degrees, then find CH.
+526 ABC is the right triangle, AC and BC are the sides and AB is the hypotenuse.
AC = 12 and BC = 5 ⇒ AB = 13
⇒ Area of △ABC = 1/2 × AC × BC
= 1/2 × 12 × 5
= 30
also, area of △ABC = 1/2 × CH × AB
= 1/2 × CH × 13
1/2 × CH × 13 = 30
⇒ CH = 60/13 units = 4.6 units
