If CE is parallel to DB, what is the value of $x$:

Find the area of the triangle, whose sides are 8 cm, 10 cm, and 12 cm long.

In triangle $ABC$, points $D$ and $E$ are on $AB$ and $AC$ respectively such that $DE$ is parallel to $BC$. If $AD = 6$ cm, $DB = 4$ cm, $AE = 9$ cm, then the length of $EC$ (in cm) is:

Find the value of k so that the area of the triangle with vertices A(k + 1, 1), B(4, -3) and C(7, -k) is 6 square units.

The sides of a triangle are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$. If the semi-perimeter of the triangle is 47 cm, then what is the length of the longest side?

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

Find the area of triangle whose base measures 22 cm and the corresponding height measure 18 cm.