construct a parallelogram HEAR HE=5cm EA=6cm angle=85° and write the steps of construction
Answers
Construct the following quadrilaterals. (iii) Parallelogram HEAR HE = 5 cm EA = 6 cm ∠R = 85°
Q1. Construct the following quadrilaterals.
(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Answers (1)
H Harsh Kankaria
Answered 1 year, 7 months ago
Given, HEAR is a parallelogram.
HE = 5 cm
EA = 6 cm
∠R = 85°
We know, Diagonally opposite angles of a parallelogram are equal.
Therefore, ∠E = ∠R = 85°
And, Opposite sides of a parallelogram are equal and parallel to each other.
Therefore, AR = HE = 5 cm
RH = EA = 6 cm
Steps of construction:
Step 1. Draw a line segment HE = 5 cm. Construct an angle of 85° at E. As EA = 6 cm, draw an arc with O as center and radius = 6 cm. We get to point A.
Step 2. With A as centre, draw an arc of radius = AR = HE = 5 cm.
Step 3. With H as centre , draw an arc of radius = HR = EA = 6 cm. The intersection of this arc with the previous arc is R.
Step 4. Join R to H and R to A.
HEAR is the required parallelogram.