The lateral side of an isosceles triangle is 15 cm and the base is 24 cm. What is the area

Let us mentally draw the height to the base.

In this type of triangles, it will also be the median, that is, it will divide the base of the triangle in half.

Let’s find out how many centimeters half the base will be equal to, if it is known from the condition that it is 24 centimeters:

24: 2 = 12.

Let’s find out how many centimeters the drawn height will equal, for it we use the Pythagorean theorem:

√ (225 – 144) = √81 = 9.

Let’s find out what the area of the triangle will be equal to:

24 * 9 * 1/2 = 108.

Answer: 108 cm2.