Question

1.. Find the area of an equilateral triangle whose
each side is
(a) 30 cm
Please Give detailed answer I am not able to understand

Answer 1

altitude of the triangle = √side ^2 - (side/2) ^2

√ ( 30 cm) ^2 - ( 15 cm ) ^2

= √ ( 9,00 cm ^2 - 225 cm ^2 )

= √( 675 cm ^2)

= 15 √ 3 cm.

area of triangle = 1/2 × base × height

= 1/2 × 30 × 15 √ 3 square cm

= 225 √ 3 square cm.

Answer 2

Question:

Find the area of an equilateral triangle whose

each side is

(a) 30 cm

Please Give detailed answer I am not able to understand.

Answer:

$\sf \pink{area \: of \: triangle} \green{ \longrightarrow} \sf \orange{ \frac{ \sqrt{3} }{4} {a}^{2} } \\ \\ \sf \pink{area \: of \: triangle}\green{ \longrightarrow} \sf \orange{ \frac{ \sqrt{3} }{4} \times {30cm}^{2} } \\ \\ \sf \pink{area \: of \: triangle} \green{ \longrightarrow} \sf \orange{389.71 {cm}^{2} }$