# In an isosceles triangle, the base is 11 cm and the height is 4.8 cm, find the side of the triangle.

May 28, 2021 | education

| We find how many centimeters are half the base of an isosceles triangle.

11/2 = 5.5 cm.

In this case, we get a right-angled triangle, in which the height and half of the base are the legs, and the hypotenuse is the side of the triangle.

To determine it, we use the Pythagorean theorem.

a ^ 2 = 5.5 ^ 2 + 4.8 ^ 2 = 30.25 + 23.04 = 53.29.

a = √53.29 = 7.3 cm.

Answer: The length of the side of an isosceles triangle is 7.3 cm.

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