plot the points (2,3) (6,3)and (4,7) in a graph sheet join them to make it a triangle find the area of the triangle.
Answers
we have to plot the points (2, 3) , (6, 3) and (4, 7) in a graph sheet and join them to make it a triangle. also we have to find the area of the triangle.
solution : see diagram, here a triangle is formed by joining points (2, 3), (6, 3) and (4, 7).
now to find area of triangle we should use the triangle formula of co-ordinates system.
i.e., area of ∆ = 1/2 [x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
here (x₁, y₁) = (2, 3) , (x₂, y₂) = (6, 3) and (x₃, y₃) = (4, 7)
so area of triangle = 1/2 [2(3 -7) + 6(7 - 3) + 4(3 - 3)]
= 1/2 [2 × -4 + 6 × 4 + 4 × 0 ]
= 1/2 [-8 + 24 ]
= 1/2 [16]
= 8
Therefore the area of triangle is 8 sq unit .
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Answer:
8 Sq.units
Step-by-step explanation:
from the graph
BASE of the triangle=4 units
HEIGHT of the triangle=4 units
hence,Area of the triangle=1/2(base)(height)
=1/2(4)(4)=8 Sq.units
