Question

The midpoints of the sides BC and CA of
triangle ABC are ( - 3,5) and ( -3, -3),
then the length of the side AB is​

Answer 1

Answer:

First of all the length of sides give us the confirmation that it is not isosceles, because in an Isosceles triangle any two sides must be of equal length. It is Scalene triangle.In fact it is a right angles triangle as it forllows Pythagorean theorem. Sq(5) + Sq(12) = Sq(13) i.e. 25 + 144 = 169.

In this triangle if AB = 12 , BC = 5 definitely AC has to be 13. Altitude to side BC is 12 and to side AB is 5. Altitude to side AC from B will be shortest. We can find the length of this altitude using area of triangle formula also.

Area = 1/2 of (base x height) i.e. Area = 1/2 of ( 5 x 12)= 30 sq unit. ALso

Area = 1/2 of ( 13 x h) = 30. Therefore h = 60/13 i.e. 4.615 unit.

Step-by-step explanation: