Question

A triangle and a parallelogram have the same base and the same area at the side of the triangle are 126cm 120cm and 130cm and parallelogram stand on the base 120 cm find the corresponding reight of the parallelogram

Answer 1

semi perimeter s of triangle = (126+120+130)/2 = 188 cm

Area of triangle =
$\sqrt{188*(188-120)(188-126)(188-130)}=\\\\\sqrt{188*68*62*58}=8\sqrt{718301}$

Area of parallelogram = base*altitude 
$8\sqrt{718301}=120*altitude$

Altitude of parallelogram = 56.501 cm    aproximately