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-

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Construction of a Quadrilateral When Three 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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Similar questions

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?

Q. In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also,

∠

SPQ =

70^{\circ}

and

∠

PQR =

90^{\circ}

. Which of the following options is the approximate value of

∠

QRS?

In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also, $∠ S P Q$ = $70^{\circ}$ and $∠ P Q R$ = $90^{\circ}$ . Which of the following options is the approximate the value of $∠ Q R S$ ?

In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also, $∠$ SPQ = $70^{\circ}$ and $∠$ PQR = $90^{\circ}$ . Which of the following options is the approximate value of $∠$ QRS?

Q. A quadrilateral

P Q R S

constructed with

P Q = Q R = 3 c m

and

P S = R S = 4 c m

is a :

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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.