In the construction of quadrilateral PQRS- with PQ -3 cm - QR -4 cm and PS -5 cm- also- - SPQ -70- and - PQR -90- which of the sides should be taken as the base of the quadrilateral- A- PQB- Q RC- RSD- PR

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Construction of a Quadrilateral When Three Consecutive Sides and Two Included Angles Are Given.

In the constr...

Question

In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, $∠$ SPQ = $70^{\circ}$ and $∠$ PQR = $90^{\circ}$ , which of the sides should be taken as the base of the quadrilateral?

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Solution

The correct option is A PQ
The side which contains both the given angles is the side which is to be taken as the base of the quadrilateral and to be constructed first.
PQ is the side which contains both the angles $∠$ SPQ and $∠$ PQR, so PQ becomes the base.

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In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, $∠$ SPQ = $70^{\circ}$ and $∠$ PQR = $90^{\circ}$ , which of the sides is to be taken as base and constructed first?

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In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, ∠SPQ = 70∘ and ∠PQR = 90∘, which of the sides should be taken as the base of the quadrilateral?

The correct option is A PQThe side which contains both the given angles is the side which is to be taken as the base of the quadrilateral and to be constructed first. PQ is the side which contains both the angles ∠SPQ and ∠PQR, so PQ becomes the base.

In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, $∠$ SPQ = $70^{\circ}$ and $∠$ PQR = $90^{\circ}$ , which of the sides should be taken as the base of the quadrilateral?

The correct option is A PQ
The side which contains both the given angles is the side which is to be taken as the base of the quadrilateral and to be constructed first.
PQ is the side which contains both the angles $∠$ SPQ and $∠$ PQR, so PQ becomes the base.