+0  
 
0
90
1
avatar

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.

 Jun 17, 2021
 #1
avatar+524 
+2

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 

 Jun 17, 2021

44 Online Users

avatar
avatar
avatar