Question

Plot the points (14, 3), (15, 5) (0, 3) on the
graph sheet. Join these points. Name the figure
so formed. Can you find its area if yes, find it,​

Answer 1

Solution:

➛ Let A = ( 15, 5 )

➛ Let B = ( 0, 3 )

➛ Let C = ( 14, 3 )

• When we join point A, B, C, we will obtain one triangle as shown in the attachment.

Steps:

• On a graph,intersecting at origin 0, draw the co-ordinate axes x0x' and y0y'.

• With proper scale, mark the numbers on the two co-ordinate axis.

Plotting the points:

• Starting from the origin 0 moves 15 units along the positive side of the x-axis i.e, to the right of the origin 0.

• Now from here move 5 units that is parallel a positive direction of y-axis.

• Place a dot at the point reached.

• Label this as A ( 15, 5 ).

➤ Similarly plot the other points B ( 0, 3 ) and C ( 14, 3 )

• Join these points and we will get a triangle.

Name the figure:

➛ ∆ABC

Yes, we can find out the area of figure given by using formula to calculate the area of triangle.

➤ 1/2| x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃ |

Here,

• x₁ = 0
• y₁ = 3
• x₂ = 14
• y₂ = 3
• x₃ = 15
• y₃ = 5

Putting the values,

➤ 1/2 | (0 × 3 ) - ( 14 × 3 ) + ( 14 × 5 ) - ( 15 × 3 ) + ( 15 × 3 ) - ( 0 × 5 ) |

➤ 1/2 | 0 - 42 + 70 - 45 + 45 - 0 |

➤ 1/2 | 0 - 42 + 70 - 0 |

➤ 1/2 | 0 - 42 + 70 - 0 |

➤ 1/2 | - 42 + 70 |

➤ 1/2 × 28

➤ 14

∴ The area of triangle or figure given = 14 sq. units

_______________________________

Answer 2

Answer:

14

is the answer of the question