find the area and height of an equilateral triangle having a perimeter of 18 cm
Share
find the area and height of an equilateral triangle having a perimeter of 18 cm
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
[tex]3s = 18cm \\ s = 6cm \\ area \: of \: equilateral \: triangle \: is = √3/4 a^2
a= 6cm
=√3/4×36
=√3×9
=9√3 or 15.5884573
Do follow me and do mark as brainliest
Verified answer
Step-by-step explanation:
Given
Perimeter of an equilateral triangle is 18cm
=> 3 × side = 18
=> side = 18 ÷ 3
=> side = 6
So each side of the equilateral triangle is 6cm.
area of equilateral triangle is
[tex] \frac{ \sqrt{3} }{4} {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(6)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times 36 \\ \\ = 9 \sqrt{3} m {}^{2} [/tex]
now
½ × base × height = 9√3
=> ½ × 6 × height = 9√3
=> 3 × height = 9√3
=> height = (9√3) ÷ 3
=> height = 3√3 cm