Question

Note:- Answer a and c only of Question number 2 from the pic.​
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Answer 1

a)

★ Given :-

➠ Height = 3cm

➠ Base = 4cm

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★ To Find :-

➠ Area = ?

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★ Used Formula :-

$\displaystyle\bf \: \green{⇝}\red{ \: \: Area \: _{(Triange)} = \frac{1}{2} \times b \times h }$

$\displaystyle\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ = { \frac{hb}{2} }}$

Where,

• B = Base
• H = Height

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★ Solution :-

$\displaystyle\bf \: \green{ : \: ⟹}\red{ \: \: Area \: _{(Triange)} = \frac{h \times b}{2} }$

$\displaystyle\bf \: : \: ⟹ \: \: Area \: _{(Triange)} = \frac{3 \times 4}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: Area \: _{(Triange)} = \frac{ \cancel{12} \: ^{6} }{ \cancel{2} \: _{1} }$

$\displaystyle \red{ \: : \: ⟹ \: \: \underline{\boxed{ \bf Area \: _{(Triange)} = 6cm}}}$

Hence,

∴ The area of the given triangle is 6cm.

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★ Verification :-

$\displaystyle\bf \: : \: ⟹\: \: Area \: _{(Triange)} = \frac{h \times b}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: 6cm= \frac{3 \times 4}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: 6 \times 2=3 \times 4$

$\displaystyle\bf \: : \: ⟹ \: \: \boxed{ \bf12=12}$

Hence, verified !

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c)

★ Given :-

➠ Height = 4cm

➠ Base = 3cm

$\:$

★ To Find :-

➠ Area = ?

$\:$

★ Used Formula :-

$\displaystyle\bf \: \green{⇝}\red{ \: \: Area \: _{(Triange)} = \frac{1}{2} \times b \times h }$

$\displaystyle\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ = { \frac{hb}{2} }}$

Where,

• B = Base
• H = Height

$\:$

★ Solution :-

$\displaystyle\bf \: \green{ : \: ⟹}\red{ \: \: Area \: _{(Triange)} = \frac{h \times b}{2} }$

$\displaystyle\bf \: : \: ⟹ \: \: Area \: _{(Triange)} = \frac{4 \times 3}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: Area \: _{(Triange)} = \frac{ \cancel{12} \: ^{6} }{ \cancel{2} \: _{1} }$

$\displaystyle \red{ \: : \: ⟹ \: \: \underline{\boxed{ \bf Area \: _{(Triange)} = 6cm}}}$

Hence,

∴ The area of the given triangle is 6cm.

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★ Verification :-

$\displaystyle\bf \: : \: ⟹\: \: Area \: _{(Triange)} = \frac{h \times b}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: 6cm= \frac{4 \times 3}{2}$

$\displaystyle\bf \: : \: ⟹ \: \: 6 \times 2=4 \times 3$

$\displaystyle\bf \: : \: ⟹ \: \: \boxed{ \bf12=12}$

Hence, verified !

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