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 is to be taken as base and constructed first-

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Construction of Quadrilateral Given 3 Sides and 2 Included Angles

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 is to be taken as base and constructed first?

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Solution

The correct option is A
PQ

The side which contains both the given angles on its ends 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

Q. 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?

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 $∠ Q R S$ ?

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 :

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?

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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 is to be taken as base and constructed first?

The correct option is A PQ The side which contains both the given angles on its ends 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 is to be taken as base and constructed first?

The correct option is A
PQ

The side which contains both the given angles on its ends 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.