Question

if A(0,5) B(6,11) and C(10,7) are vertices of triangle ABC,D and E are the mid point of AB and AC respectively then find the area of ADE​

Answer 1

Answer:

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Answer 2

Given: A(0,5), B(6,11) and C(10,7), D and E are the mid point of AB and AC

To find: find the area of ADE​

Solution:

• To find the area of triangle ADE, we need to find the coordinates of D and E first,

• So coordinates of D are

              (x2+x1)/2

              = 6+0/2

             3 units

              and (y2+y1)/2

              11+5/2

              8 units

            D = (3,8)

• coordinates of E are

            (x2+x1)/2

             = 10+0/2

             5 units

              and (y2+y1)/2

              7+5/2

              6 units

              E=(5,6)

• So now area of triangle ADE =

               1/2 { x1(y2-y3) + x2 (y3-y1) + x3 ( y1-y2) }

               1/2 { 0 + 3(6-8) + 5(0-8) }

               1/2 { -6 - 40 }

               -46/ 2

               -23

• As it is area so negative sign can be ignores,

• so,
• area = 23 sq units.

Answer:

            Area of triangle ADE = 23 sq units.