Find the area and perimeter of this shape.
Answers
Answer :
The Area of Triangle = 36cm²
The perimeter of triangle = 27.7cm
Step-by-step Explanation : ( please see the attached document for diagram)
Given : AP = 9cm
BC = 8cm
To find : Area and perimeter of the Triangle = ?
AP is drawn perpendicular to BC ,
Therefore BP = PC = 1/2 × BC
BP= PC = 1/2 × 8
BP = PC = 4cm
So,
We know that,
Area of Triangle = 1/2 × base × height
Area of Triangle ABC = 1/2 × BC × AP
Substituting the given value in above formula we get,
Area of Triangle ABC = 1/2 × 8 × 9
= 4 × 9
= 36 cm²
In ∆ APC,
By applying Pythagoras theorem,
AC² = AP² + PC²
AC² = 9² + 4²
= 81 + 16
AC² = 97
AC = 9.8 cm
In ∆ APB,
By applying Pythagoras theorem,
We get, AB = 9.8 cm
We know that,
Perimeter of triangle = sum of all the sides
= 9.8 + 9.8 + 8
Perimeter of triangle = 27.7 cm
