Question
Construct a $\triangle\text{ABC}$ in which $BC = 7\ cm$,$\angle\text{A}=45^\circ.$and $\angle\text{C}=75^\circ.$
✓
Answer
By angle sum property:$\angle\text{B}=180^\circ-\angle\text{A}-\angle\text{C}$
$=180^\circ-45^\circ-75^\circ$
$=60^\circ$
Steps for construction:
Step I: Draw $AB = 7\ cm$
Step II: Draw $\angle\text{BAX}=45^\circ$
Step III: Draw $\angle\text{ABY}=60^\circ$
Step IV: The ray $AX$ an $BY$ intersect at $C$.
Then, $ABC$ is the required triangle.
$=180^\circ-45^\circ-75^\circ$
$=60^\circ$
Steps for construction:
Step I: Draw $AB = 7\ cm$
Step II: Draw $\angle\text{BAX}=45^\circ$
Step III: Draw $\angle\text{ABY}=60^\circ$
Step IV: The ray $AX$ an $BY$ intersect at $C$.
Then, $ABC$ is the required triangle.
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→|
Clubs
|
Music
|
Dance
|
Yoga
|
Dramatics
|
Fine Arts
|
Electronics
|
|
Girls
|
$15$
|
$24$
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$19$
|
$27$
|
$21$
|
|
Boys
|
$12$
|
$16$
|
$8$
|
$17$
|
$11$
|
$30$
|
$b.$ How many students are there in Class $VII?$
$c.$ Which is the most preferred club by boys?
$d.$ Which is the least preferred club by girls?
$e.$ For which club the difference between boys and girls is the least?
$f.$ For which club is the difference between boys and girls the maximum?