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-RSPRPQQR

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Construction of Quadrilateral When 3 Sides and 2 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?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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.

Suggest Corrections

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?

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,

∠ S P Q

70^{\circ}

and

∠ P Q R

90^{\circ}

. Which of the following options is the approximate value of

∠ Q R S

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?

Join BYJU'S Learning Program

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.