mrminion21
mrminion21 mrminion21
  • 03-08-2019
  • Mathematics
contestada

What is the length of the altitude of an equilateral triangle with side a?

Respuesta :

zumar
zumar zumar
  • 03-08-2019

Step-by-step explanation:

As equilateral triangle have equal sides

By applying Pathagores theorem

[tex](hyp)^2=(per)^2+(base)^2[/tex]

by putting values

[tex](a)^2=(per)^2+( \frac{a}{2} )^2[/tex]

[tex]a^2- \frac{a^2}{4} =(per)^2[/tex]

by taking lcm on L:H:S

[tex] \frac{4a^2-a^2}{4} =(per)^2[/tex]

[tex] \frac{3a^2}{4} = (per)^2[/tex]

by taking square root on both side

[tex] \frac{ \sqrt{3}a }{2} =(per)[/tex]

i hope u will understand

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