the sides of a triangle are80cm,100cm,and 140cm determine the radius of the the inscribed angle?
the answer in my book is 7.8sq units
kindly help me pls to show the solution thanks
- BattleaxeLv 76 years agoFavorite Answer
The radius of the circle inscribed in the triangle:
r = (triangle area)/k where k = (a + b + c)/2
r = SQR[k(k - a)(k - b)(k - c)]/k
k = (80 + 100 + 140)/2 = 160
r = SQR[160(80)(60)(20)]/160 = 3919.2/160 = 24.49cm
- PaulLv 76 years ago
Which of the three angles are inscribed? We need a picture.
Your book is clearly wrong as you don't measure a radius in square units. You're looking up the answer to the wrong question.