What is the base of a triangle , if height is 5cm and area is 50 square cm. *1 point250cm20 square cm10cm20 cm About the author Melanie
Given : The Height of Triangle is 5cm and Area of Square is 50 cm ² . Need To Find : The Base of Triangle. ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ❍ Let’s Consider the Base of Triangle be x cm . [tex]\dag\frak{\underline {As,\:We\:know\:that\::}}\\[/tex] [tex]\bf{\star \underline { Area _{(Triangle)} = \dfrac {1}{2} \times b \:\times h }}\\\\[/tex] Where , b is the Base of Triangle and h is the Height of Triangle. ⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex] [tex] :\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}\\[/tex] Therefore, ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm { Hence,\:The\: Base \:of\:Triangle \:is\:\bf{20\: cm}}}}\\[/tex] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ V E R I F I C A T I O N : [tex]\dag\frak{\underline {As,\:We\:know\:that\::}}\\[/tex] [tex]\bf{\star \underline { Area _{(Triangle)} = \dfrac {1}{2} \times b \:\times h }}\\\\[/tex] Where , b is the Base of Triangle and h is the Height of Triangle. ⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex] [tex] :\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 } [/tex] ⠀⠀⠀⠀⠀[tex]\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\[/tex] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ Reply
Answer: the base is 20 cm Step-by-step explanation: Height = 5cm Area = 50 square cm base = 20 cm Reply
Given : The Height of Triangle is 5cm and Area of Square is 50 cm ² .
Need To Find : The Base of Triangle.
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
❍ Let’s Consider the Base of Triangle be x cm .
[tex]\dag\frak{\underline {As,\:We\:know\:that\::}}\\[/tex]
[tex]\bf{\star \underline { Area _{(Triangle)} = \dfrac {1}{2} \times b \:\times h }}\\\\[/tex]
Where ,
⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex]
[tex] :\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}\\[/tex]
Therefore,
⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm { Hence,\:The\: Base \:of\:Triangle \:is\:\bf{20\: cm}}}}\\[/tex]
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
V E R I F I C A T I O N :
[tex]\dag\frak{\underline {As,\:We\:know\:that\::}}\\[/tex]
Where ,
⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex]
[tex] :\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 } [/tex]
⠀⠀⠀⠀⠀[tex]\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\[/tex]
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
Answer:
the base is 20 cm
Step-by-step explanation:
Height = 5cm
Area = 50 square cm
base = 20 cm