Finding the perpendicular height of the triangle by using Pythagoras works out at about 8.660254038.
1/2*base*perpendicular height or altitude = area
1/2*10*8.660254038 = 43.30127019 square units
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the perimeter is 36 and the area is 144
Given this area, the sides measure 52.92734 cm
You can't as there is no hypotenuse in an equilateral triangle. The hypotenuse is the side of a triangle which is opposite a right angle (90°); all angles in an equilateral triangle are 60°.
Area = side^2 x (√3)/4
Area = 15.58846 cm2