TRIANGLE WORKSHEET SOLUTION1

Triangle worksheet solution1 :

Here we are going to see solution for each problems of the topic area of triangle worksheet.

(1) Find the are of the triangle formed by the points.

(i) (0, 0) (3, 0) and (0, 2)

Solution:

Let A (0, 0) , B(3, 0) and C (0, 2)are the vertices of the triangle taken in order.

x₁ = 0          x₂ = 3         x₃ = 0

y₁ = 0          y₂ = 0         y₃ = 2

Area of the triangle ABC

  =  (1/2) [ (0 + 6 + 0) – (0 + 0 + 0)]

  =  (1/2) [6 - 0]

  =  (1/2) [6]

  =  3 square units

Hence, the area of  ABC = 3 square units.

(ii) (5, 2) (3, -5) and (-5, -1)

Solution:

Let A (-5, -1) , B (3, -5) and C (5, 2) are the vertices of the triangle taken in order.

x₁ = -5          x₂ = 3          x₃ = 5

y₁ = -1          y₂ = -5         y₃ = 2

Area of the triangle ABC

  =  (1/2) [ (25 + 6 - 5) – (-3 - 25 - 10)]

  =  (1/2) [(31 - 5) –(-38)]

  =  (1/2) [26 +38]

  =  (1/2) [64]

  =  32 square units 

Hence, the area of ABC = 32 square units.

(iii) (-4, -5) (4, 5) and (-1, -6)

Solution:

Let A (-4, -5) , B (-1, -6) and C (4, 5) are the vertices of the triangle taken in order.

x₁ = -4          x₂ = -1          x₃ = 4

y₁ = -5          y₂ = -6          y₃ = 5

Area of the triangle ABC

  =  (1/2) [ (24 - 5 - 20) – (5 - 24 - 20)]

  =  (1/2) [(24 - 25) –(5 - 44)]

  =  (1/2) [(-1) – (-39)]

  =  (1/2) [-1 + 39]

  =  (1/2) [38]

  =  19 square units 

Hence, the area of  ABC = 19 square units.

Related topics


After having gone through the stuff, we hope that the students would have understood "Triangle worksheet solution1"

Apart from the stuff given above, if you want to know more about "Triangle worksheet solution1", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...