Area of Triangle with Coordinates of Vertices Given
Area of the t...
Question
Area of the triangle formed by (1, 1), (2, 5), (5, 2)
A
7.5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5.7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 7.5 We know we can find the area of triangle formed by (a1,b1),(a2,b2)and(a3,b3) using the formula 12∣∣
∣∣a1b11a2b21a3b31∣∣
∣∣ ∴Area=±12∣∣
∣∣111251521∣∣
∣∣=∣∣12(1(5−2)−1(2−5)+1(4−25))∣∣ =∣∣12(3+3−21)∣∣=152=7.5sq.mts.