Question

find the length of the base and the area of the triangle

Answer 1

Question:

Solution:

Applying the Pythagorean theorem, we obtain:

$b=\sqrt[\square]{20^2-12^2}$

this is equivalent to:

$b=\sqrt[\square]{400^{}-144^{}}=16$

so that, we can conclude that the lenght of the base is:

$16$

now, the area A of a triangle with base b and height h is given by the following equation:

$A\text{ = }\frac{b\text{ x h}}{2}$

note that in this case b= 16 and h=12, then the area of the given triangle is:

$A\text{ = }\frac{b\text{ x h}}{2}=\text{ }\frac{16\text{ x }12}{2}=96$

so that, we can conclude that the area of the triangle is:

$96$