I cant figure out this problem :
In right triangle ABC, AB is 4 cm long, BC is 3 cm long, and angle ABC is 90. Find the length of side AC and the size of angle CAB.
Thanks!!
In right triangle ABC, AB is 4 cm long, BC is 3 cm long, and angle ABC is 90. Find the length of side AC and the size of angle CAB.
Thanks!!
-
This is a 3-4-5 right triangle, a special case of the Pythagorean theorem, so ac is 5 cm.
If you want to do the math, 3^2+4^2 = h^2, 9+16 = 25, h = sqrt(25), h = 5
The angle is cos^-1(4/5) or 36.869897645844 degrees, 0.6435011087933 radians.
The same angle is described by tan^-1(3/4) or sec^-1(5/4).
If you want to do the math, 3^2+4^2 = h^2, 9+16 = 25, h = sqrt(25), h = 5
The angle is cos^-1(4/5) or 36.869897645844 degrees, 0.6435011087933 radians.
The same angle is described by tan^-1(3/4) or sec^-1(5/4).