It is impossible to find the height of a triangle with just it's base.
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15 square cm
60 sq cm
The area of any triangle is (1/2) x (length of the base) x (height). We're sure you can take it from there.
1/2*base*10 = 120 base*10 = 240 base = 24cm
A cone with a base of 10cm and a height of 13cm has a volume of 340.34cm3