draw quadrilateralwith AB=8cm, BC=6.5cm<A=50°, <B=65°, AD=5cm and then draw a triangle having the area of this quadrilateral
Answers
Answer:
Given:
AB = 6.5 cm, AD = 5 cm, CD = 5 cm, ∠ BAC = 40° and ∠ ABC = 50 °.
Steps for construction
Step 1 : Draw a rough diagram and mark the given measurements.
Step 2 : Draw a line segment AB = 6.5cm.
Step 3 : At A on AB make ∠BAX whose measure is 40° and at B on AB make ∠ABY whose measure is
50 ° . They meet at C.
Step 4 : With A and C as centres draw two arcs of radius 5cm and let them cut at D.
Step 5 : Join AD and CD
. ABCD is the required quadrilateral.
Step 6 : From D draw DE⊥ AC and from B draw
BC ⊥ AC
. Then measure the lengths of BC and DE. BC = h 1 = 4.2 cm, DE = h 2
= 4.3 cm and AC = d = 5 cm.
Calculation of area:
In the quadrilateral ABCD, d = 5 cm, h 1
= 4.2 cm and h2
= 4.3 cm.
Area of the quadrilateral ABCD = 21d(h 1+h 2 )
= 21 (57.8)(4.2+4.3)
= 21×5×8.5
=21.25 cm 2
Given : AB=8cm, BC=6.5cm , ∠A=50°, ∠B=65°, AD=5cm
To Find : draw quadrilateral
Solution:
Step 1 : Draw a line segment AB = 8 cm
Step 2 : Draw an angle of 65° at B on AB using protractor
Step 3 : Take a length of 6.5 cm from B on angle drawn and label C
Step 4 : Join BC
Step 5 : Draw an angle of 50° at A on AB using protractor
Step 6 : Take a length of 5 cm from A on angle drawn and label D
Step 7 : Join AD
Step 8 : Join BC
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