Question

What is the base of a triangle , if height is 5cm and area is 50 square cm. *
1 point
250cm
20 square cm
10cm
20 cm​

Answer 1

Answer:

the base is 20 cm

Step-by-step explanation:

Height = 5cm

Area = 50 square cm

base = 20 cm

Answer 2

Given : The Height of Triangle is 5cm and Area of Square is 50 cm ² .

Need To Find : The Base of Triangle.

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❍ Let's Consider the Base of Triangle be x cm .

$\dag\frak{\underline {As,\:We\:know\:that\::}}$

$\bf{\star \underline { Area _{(Triangle)} = \dfrac {1}{2} \times b \:\times h }}$

Where ,

• b is the Base of Triangle and h is the Height of Triangle.

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$:\implies \sf { 50 = \dfrac{1}{2} \times x \times 5 } \\\\:\implies \sf { 50\times 2 = x \times 5 } \\\\:\implies \sf { 100 = x \times 5 } \\\\:\implies \sf { \cancel {\dfrac{100}{5}} = x } \\\\\underline {\boxed{\pink{ \mathrm {  x = 20\: cm}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence,\:The\: Base \:of\:Triangle \:is\:\bf{20\: cm}}}}$

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V E R I F I C A T I O N :

$\dag\frak{\underline {As,\:We\:know\:that\::}}$

• $\bf{\star \underline { Area _{(Triangle)} = \dfrac {1}{2} \times b \:\times h }}$

Where ,

• b is the Base of Triangle and h is the Height of Triangle.

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$:\implies \sf { 50 = \dfrac{1}{2} \times 20 \times 5 } \\\\:\implies \sf { 50 = \dfrac{1}{\cancel {2}} \times \cancel {20} \times 5 } \\\\:\implies \sf { 50 = 10 \times 5 } \\\\:\implies \sf { 50 cm^2 = 50cm^2 }$

⠀⠀⠀⠀⠀$\therefore {\underline {\bf{ Hence, \:Verified \:}}}$

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