#### Question

Construct the following quadrilaterals,

Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

#### Solution

1) A rough sketch of this quadrilateral can be drawn as follows.

2) Draw a line segment RU of 3 cm and an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cut a line segment UE of 4 cm

from this ray.

3) Next, draw an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cut a line segment RT of 3.5 cm from this ray.

4) Join T to E.

TRUE is the required quadrilateral

Is there an error in this question or solution?

Solution Construct the Following Quadrilaterals, Quadrilateral True Tr = 3.5 Cm Ru = 3 Cm Ue = 4 Cm ∠R = 75° ∠U = 120° Concept: Constructing a Quadrilateral - When Three Sides and Two Included Angles Are Given.