Question 838246
The altitude can be determined using {{{a^2 + b^2 = c^2}}}
c = 13
a = altitude
b = (1/2)(10) = 5
{{{a^2 + (5)^2 = (13)^2}}}
{{{a^2 + 25 = 169}}}
subtract 25 from each side
{{{a^2 = 144}}}
Take the square root of each side
a = 12