A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ________ m2.
A
5√5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12√5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C
12√5
Semi-perimeter of a triangle, s = a+b+c2 where a, b and c are the sides of the triangle. s=7+8+92=242=12m Area of a triangle, A = √s(s−a)(s−b)(s−c) =√(12)(12−7)(12−8)(12−9) =√(12)(5)(4)(3)=12√5m2