# AREA OF TRIANGLE WITH COORDINATES WORKSHEET

Problem 1 :

Find the area of a triangle whose vertices are (3, 0), (7, 0) and (8, 4).

Solution

Problem 2 :

The area of a triangle whose vertices are (5, 0), (8, 0) and (8, 4) (in sq.units) is

A) 20    B) 12    C) 6

Solution

Problem 3 :

The area of a triangle is 5 sq units. Two of its vertices are (2, 1) and (3, -2). If the third vertex is (7/2, y), find the value of y.

Solution

Problem 4 :

Find the values of k so that the area of the triangle with vertices (1, -1), (-4, 2k) and (-k, -5) is 24 sq. units.

Solution

Problem 5 :

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5).

Solution

Problem 6 :

For what type of k, (k > 0), is the area of the triangle with vertices (-2, 5), (k, -4) and (2k + 1, 10) to 53 sq. units?

Solution

1)   20 square units.

2)  6 square units.

3) y = 13/2

4)  k = 3 and k = -9/2

5)  1 square unit

6)  k = 3

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