Question

Construct quadrilaterals with the measurements given below:
(a) Quadrilateral HELP with HE =6cm, EL = 4.5 cm, ∆H-60°, ∆E=105°and ∆P-120°.



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Answer 1

Step-by-step explanation:

construct the given quadrilateral, as we are already given three angles.

We shall find the fourth angle first.

Here <H = 60°, <E = 105°, <P = 120°

We know sum of all the angles of a quadrilateral = 360°

So <L = 360° - (60° + 105° + 120°) = 75°

Step 1)

Construct base HE = 6 cm

Step 2)

Construct <H = 60° (Shown in Red)

Step 3)

Construct <E = 105° (Shown in Blue)

On this line of <E cut an arc at 4.5 cm. (Shown in Green)

Mark this point as L

Step 4)

Construct <L = 75°. (Shown in Brown)

Name the point where it intersects the arm of <H as P.

Answer 2

Answer:

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