Question

find out area of the following parallelogram​

Answer 1

Given

• The given figure is a triangle and it's sides measures :-
• AB = AC = 4 cm
• AD = 2 cm

To find

• Area of the triangle

Solution

Firstly, we will find the third side of the triangle by using pythagoras theorem.

In △ADC

By using pythagoras theorem,

H² = P² + B²

where,

• H = Hypotenuse of the triangle (Longest side).
• P = Perpendicular of the triangle.
• B = Base of the triangle.

____________________________

Hypotenuse = AC = 4 cm

Perpendicular = AD = 2 cm

Base = DC = ?

⟼ (4)² = (2)² + (DC)²

⟼ 16 = 4 + DC²

⟼ 16 - 4 = DC²

⟼ 12 = DC²

⟼ √12 = DC

⟼ ± √12 Reject - ve = DC

⟼ DC = √12 cm

Using formula to find the area of Isosceles triangle,

• Area of Isosceles triangle = ½ × b × h

where,

• b = base of the triangle
• h = height of the triangle

Base = 2 × DC = 2 × √12 = 4√3 cm

Height = AD = 2 cm

Substituting the given values,

⟼ Area = ½ × 4√3 × 2

⟼ Area = 4√3

⟼ Area = 4√3

The value of √3 = 1.732

⟼ Area = 4 × 1.732

⟼ Area = 6.928 cm²

Area of the given triangle = 6.928 cm²