In an isosceles triangle, the height is drawn to the base, find the side of the triangle

In an isosceles triangle, the height is drawn to the base, find the side of the triangle if the height is exactly 12 m, the base is 10 m.

Since ABC is an isosceles triangle, the height of the BH drawn to the base will also be the median of the triangle, then AH = CH = AC / 2 = 10/2 = 5 cm.

Then, in a right-angled triangle ABH, we define the length of the hypotenuse AB using the Pythagorean theorem.

AB ^ 2 = BH ^ 2 + AH ^ 2 = 12 ^ 2 + 5 ^ 2 = 144 + 25 = 169.

AB = BC = 13 cm.

Answer: The length of the side of the triangle is 13 cm.