Know Steps to Construct a Quadrilateral When the Lengths Are Given

By Team Aakash Byju's | 27th December 2022

Construct a quadrilateral PQRS where PQ = 4.5 cm, QR = 6 cm, RS = 5.5 cm, PS = 5 cm and PR = 6.5 cm.

[{"selector":"#anim-081f91dc-daca-4fbd-b38c-cb19a7a4cf32","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5b960322-f57e-4a0f-bafc-ae0bb2619add","keyframes":{"transform":["translate3d(-115.55555%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] R S 5.5 cm P Q 4.5 cm 6 cm 5 cm

[{"selector":"#anim-78f2e39b-5b5a-4fbb-bb2f-ac22bc8f3940","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-274c4611-328e-4c26-9d99-8d120f73bced","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Let us first draw the line PQ = 4.5 cm. Next, choose two lines that have a common vertex sharing with P and Q. i.e., P R and Q R . P Q 4.5 cm

[{"selector":"#anim-ac1efb56-17b4-4851-b70a-1471a254f119 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":2000,"easing":"cubic-bezier(.14,.34,.47,.9)","fill":"forwards"}] Attend a Trial Class

[{"selector":"#anim-18d8d120-9d42-462f-9d74-6b423abbc93d","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8420317d-5c7d-4280-b9b6-c3d17ed3e436","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Take a compass and keep P as the centre to draw an arc of length 6.5 cm. Now, keep Q as the centre and draw an arc of length 6 cm such that it meets the arc drawn previously. Join PR and QR as shown. P Q 4.5 cm R 6 cm 6 .5cm

[{"selector":"#anim-d4defed8-5aad-43b8-8a02-b559eb9c1f3e","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-a354314f-41a6-4447-b5d3-6207b897f76b","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Since R S = 5.5 cm and P S = 5 cm are such that S is adjacent to R and P, next, we shall construct these lines. P S 5 cm R 5.5 cm

[{"selector":"#anim-70bb47d3-7ff1-4478-8bc1-cc3b54bc272a","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-a2fccd2e-c13d-42ff-a3a1-1870c45266b5","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Take a compass and keep P as the centre to draw an arc of length 5 cm. Now, keep R as the centre and draw an arc of length 5.5 cm such that it meets the arc drawn previously. Join PS and RS as shown. P Q 4.5 cm R 6 cm 6 .5cm S 5 cm 5.5cm

[{"selector":"#anim-88d1e22a-575a-4a89-9064-52a75c385387","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-11d9397b-55d7-412b-9a15-b0d9a2152e96","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] The quadrilateral PQRS with PQ = 4.5 cm, QR = 6 cm, RS = 5.5 cm, PS = 5 cm and PR = 6.5 cm is thus constructed. P Q 4.5 cm R 6 cm 6 .5cm S 5 cm 5.5cm

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