Mathematic Problems
347. példa

Calculate the area of the Isosceles triangle if the base height is 20 cm and the arm height is 24 cm.

a·ha=b·hb
a·20=b·24
b=a·2024=5·a6
b2=a22+hb2
5a62=a22+202
25a236=a24+400 |·36
25a2=9a2+14400
16a2=14400
a2=1440016=900
a=900=30
T=a·ha2=30·202
T=300 cm2
T=300 cm2