Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4 cm EA = 5 cm AR = 4.5 cm ∠ E = 60° ∠ A = 90° (ii) Quadrilateral TRUE TR = 3.5 cm RU = 3 cm UE = 4 cm ∠ R = 75° ∠ U = 120°

Question

Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4 cm EA = 5 cm AR = 4.5 cm &#x2220; E = 60&#xB0; &#x2220; A = 90&#xB0; (ii) Quadrilateral TRUE TR = 3.5 cm RU = 3 cm UE = 4 cm &#x2220; R = 75&#xB0; &#x2220; U = 120&#xB0;

Philoid · Accepted Answer

(i) A rough sketch of this quadrilateral:

(a) Draw a line segment DE of 4 cm and an angle of 60° at point E. The given vertex A is 5 cm away from vertex E so cut a line segment EA of 5 cm from this ray

(b) Again draw an angle of 90° at point A. As vertex R is 4.5 cm away from vertex A, cut a line segment RA of 4.5 cm from this ray

(c) Join D to R

DEAR is the required quadrilateral

(ii) A rough sketch of this quadrilateral:

(a) Draw a line segment RU of 3 cm and also an angle of 120° at point U

The vertex E is 4 cm away from vertex U so cut a line segment UE of 4 cm from this ray

(b) Now, draw an angle of 75° at point R. As the given vertex T is 3.5 cm away from vertex R so cut a line segment RT of 3.5 cm from this ray

(c) Join T to E

TRUE is the required quadrilateral

Construct the following quadrilaterals.(i) Quadrilateral DEARDE = 4 cmEA = 5 cmAR = 4.5 cm∠E = 60°∠A = 90°(ii) Quadrilateral TRUETR = 3.5 cmRU = 3 cmUE = 4 cm∠R = 75°∠U = 120°

Construct the following quadrilaterals.
(i) Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°