Si. Construct a AABC with AB = 6 cm, BC = 5 cm and B = 65°.
S2. Construct a APQR with PQ = 5.5 cm, QR = 6.5 cm and ZQ = 80°.
S3. Construct a APQR with PQ = QR = 7 cm and ZPQR = 45°. What type of a triangle is APQR?
S4. Is it possible to construct a triangle when only the measure of the three angles are given? Give reason(s) for your answer.
S2. Construct a APQR with PQ = 5.5 cm, QR = 6.5 cm and ZQ = 80°.
S3. Construct a APQR with PQ = QR = 7 cm and ZPQR = 45°. What type of a triangle is APQR?
S4. Is it possible to construct a triangle when only the measure of the three angles are given? Give reason(s) for your answer.
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Answer:
Ex 11.1, 5
Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and Z ABC = 60°.
Then construct a triangle whose sides are of the corresponding
sides of the triangle ABC.
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Let's first draw a rough diagram
A
5 cm
Now, Let's construct it
60°
Steps to draw A ABC
B
6 cm
C
Draw base BC of side 6 cm
B
C
Step-by-step explanation:
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Verified answer
Answer:
[tex]\huge\red{A}\pink{N}\green{S}\blue{W}\orange{E}\gray{R}[/tex]
Given
Steps of Construction:
(i) Construct a line segment PR = 6.5 cm.
(ii) Taking P as centre and 4.5 cm radius and R as centre and 6 cm radius construct arcs which intersect each other at Q.
(iii) Now join PQ and QR.
(iv) Taking P as centre and 5 cm radius and R as centre and 5.5 cm radius, construct arcs which intersect each other at S.
(v) Join PS and SR.
Hence, PQRS is the required quadrilateral.