A triangle has sides with lengths of 5, 7, and 4. What is the radius of the triangles inscribed circle? Geometry Circles Area of Inscribed Triangle 1 Answer Veddesh #phi# Jan 24, 2016 #Radius# #o##f# #cir##cl##e#=#sqrt6/2# Explanation: #Radius# #o##f# #cir##cl##e# #i##nscribed# #i##nside# #a# #triangle#=#(Area# #o##f# #triangle)##/##s# #Where# #s=semi# #perimeter# #o##f# #triangle# #s=(5+7+4)/2=16/2=8# #a=5,b=7,c=4# #Area# #o##f# #triangle#=#sqrt[s(s-a)(s-b)(s-c)]# #rarr=sqrt[8(8-5)(8-7)(8-4)]# #rarr=sqrt[8(3)(1)(4)]# #rarr=sqrt[8(96)]# #rarr=sqrt96# #So,Radius# #o##f# #cir##cl##e##=sqrt96/8=(2sqrt24)/8=sqrt24/4=(2sqrt6)/4=sqrt6/2# Answer link Related questions A triangle has sides with lengths of 4, 6, and 9. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 1, 6, and 2. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 1, 4, and 2. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 6, 4, and 2. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 6, 4, and 3. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 8, 4, and 3. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 8, 4, and 6. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 8, 7, and 6. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 2, 7, and 6. What is the radius of the triangles inscribed circle? A triangle has sides with lengths of 3, 7, and 6. What is the radius of the triangles inscribed circle? See all questions in Area of Inscribed Triangle Impact of this question 2301 views around the world You can reuse this answer Creative Commons License