15. One side of an equilateral triangle measures 8 cm.Find its area us

1.	15. One side of an equilateral triangle measures 8 cm.Find its area using Heron's formula. What is itsaltitude ?
Answer» Equilateral triangle (a=b=c=8)Heron's formula,s=a+b+c/2=8+8+8/2=24/2=12 Area=√(s(s-a)(s-b)(s-c)√(12(12-8)(12-8)(12-8))√(12)444√(34444=16√3cm² Also,Area of triangle=(1/2)basealtitude16√3=(1/2)8*altitudealtitude=4√3cm thanku

15. One side of an equilateral triangle measures 8 cm.Find its area using Heron's formula. What is itsaltitude ?

Answer»

Equilateral triangle (a=b=c=8)Heron's formula,s=a+b+c/2=8+8+8/2=24/2=12

Area=√(s(s-a)(s-b)(s-c)√(12(12-8)(12-8)(12-8))√(12)4*4*4√(3*4*4*4*4=16√3cm²

Also,Area of triangle=(1/2)*base*altitude16√3=(1/2)8*altitudealtitude=4√3cm

thanku