Question

ABC is equilateral triangle of side 5√3 cm.
find the length of its median.

Answer 1

Answer:

$\sqrt{225}cm$

Step-by-step explanation

As the side's length  = $5\sqrt{3}$

so median will be =$(5\sqrt{3} )^{2} - \frac{(5\sqrt{3} )^{2} }{2^{2} }$

$=> 45 - 22.5= x^{2} \\\sqrt{22.5}= x$

Answer 2

Answer: 1.5 cm

Step-by-step explanation:

Side = 5√3 cm

Area of equi. triangle = $\frac{\sqrt{3} }{4}s^{2}$

=> $\frac{\sqrt{3} }{4}(5\sqrt{3}) ^{2}$

=> $\frac{\sqrt{3} }{4}$ × 25 × 3

=>$\frac{75\sqrt{3} }{4}$ cm²

Area of triangle = $\frac{1}{2}$ × b × h = $\frac{75\sqrt{3} }{4}$

=> $\frac{75\sqrt{3} }{4}$ = $\frac{1}{2}$ × 5√3 × h

=> h = $\frac{75\sqrt{3} }{4}$ × $\frac{2}{5\sqrt{3}}$ = 3/2 cm = 1.5 cm

Hope it helps! Have a good day! Please mark as brainliest answer! :D