Right angled triangle abc has hypotenuse of length is 4 root 10 cm other side is 6cm and the smallest angle is at b find cot b
Answers
Step-by-step explanation:
Once you have circle inscribed into that triangle -- you'll notice you won't have the traditional tips to solve this question. This is a 3-4-5 triangle but the angles are not the typical 30-60-90 degree triangle. Instead you have so solve for r - radius.
The way to solve this is to draw a line from radius to all 3 vertices - so you have 3 separate lines. This creates OA, OB, and OC and 3 smaller triangles within the larger 6-8-10 triangle. THe sum of the 3 smaller triangles should equal the sum of the large triangle.
The reason we care about the smaller triangles is because we know their "height" is going to be "r". So 1/2 * base * height, the height will be r.
1/2 * 6* r + 1/2 * 8 * r + 1/2 * 10 * r = 1/2 * 8 * 6
12r = 24
r = 2
Answer:
Step-by-step explanation:
If the smallest angle in then the side opposite to the angle is all small
By Pythagoreas theorum
The other side = 2root 31
Cot b = 2root 31 / 6 = 1.85