Question

The height of an isosceles triangle is 12cm. The base of the triangle is 18cm. Work out the length of the equal sides

Answer 1

Answer:

The length of the equal sides is 15 centimeters.

Step-by-step explanation:

Since, base and height of the triangle are perpendicular to each other. In an isosceles triangle, the value of each equal length ($l$), measured in centimeters, can be determined by the following Pythagorean identity:

$l = \sqrt{\frac{b^{2}}{4}+h^{2}}$ (1)

Where:

$b$ - Base of the triangle, measured in centimeters.

$h$ - Height of the triangle, measured in centimeters.

If we know that $b = 18\,cm$ and $h = 12\,cm$, then the value of each equal length within the isosceles triangle is:

$l =\sqrt{\frac{(18\,cm)^{2}}{4}+(12\,cm)^{2}}$

$l = 15\,cm$

The length of the equal sides is 15 centimeters.