Quadrilateral LAMP with AM - MP - PL - 5cm- - M-90- and - P-60-

Step1 : draw a rough sketch and mark the measurements given. Step 2 : draw AMP using nbsp; SAS construction rule with measures AM = 5cm, ∠ M=90^∘ and nbs ...

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Standard VIII

Mathematics

Properties of Quadrilaterals

Quadrilateral...

Question

Quadrilateral LAMP with AM = MP = PL = 5cm, $∠ M = 90^{\circ}$ and $∠ P = 60^{\circ}$

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Solution

Step1 : draw a rough sketch and mark the measurements given.

Step 2 : draw $△$ AMP using SAS construction rule with measures AM = 5cm, $∠ M = 90^{\circ}$ and MP = 5 cm.

Step 3 : construct $∠ P = 60^{\circ}$ and draw PY.

Step 4 : with center ‘P’ and radius 5cm (PL = 5 cm) draw an arc to intersect PY at L. Join L,P . LAMP is the required quadrilateral.

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Similar questions

Q. Construct the following quadrilaterals
(i) Quadrilateral

M O R E

M O = 6 c m

O R = 4.5 c m

∠ M = 60^{\circ}

∠ O = 105^{\circ}

∠ R = 105^{\circ}

(ii) Quadrilateral

P L A N

P L = 4 c m

L A = 6.5 c m

∠ P = 90^{\circ}

∠ A = 110^{\circ}

∠ N = 85^{\circ}

(iii) Parallelogram

H E A R

H E = 5 c m

E A = 6 c m

∠ R = 85^{\circ}

(iv) Rectangle

O K A Y

O K = 7 c m

K A = 5 c m

Question 2
Construct the Quadrilateral PLAN where
PL=4 cm, LA = 6.5 cm, $∠ P = 90^{\circ}, ∠ A = 110^{\circ}, ∠ B = 85^{\circ}$

Question 1
Construct the Quadrilateral DEAR where
DE=4cm, EA=5cm, AR=4.5cm, $∠ E = 60^{\circ}, ∠ A = 90^{\circ}$

Construct the quadrilateral $D E A R$ where $D E = 4 c m, E A = 5 c m, A R = 4.5 c m, ∠ E = 60^{\circ}, ∠ A = 90^{\circ}$

Q. Construct a quadrilateral

A B C D

with

A B = 5 c m, B C = 3.6 c m, ∠ A B C = 80^{\circ}, ∠ D A B = 60^{\circ}

and

∠ A D C = 120^{\circ}

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Quadrilateral LAMP with AM = MP = PL = 5cm, ∠M=90∘ and ∠P=60∘

Quadrilateral LAMP with AM = MP = PL = 5cm, $∠ M = 90^{\circ}$ and $∠ P = 60^{\circ}$