Question

Calculate the size of angle feta in the isosceles triangle below. give your answer in degrees to 1 d.p. the lengths are 8.3 and 6.2

Answer 1

In an isosceles triangle, the measure of angle feta can be found by using the property that the base angles are equal. By setting up an equation and solving for the angle, we find that angle feta is 90 degrees.

Step-by-step explanation:

In an isosceles triangle, the base angles are equal. Let's denote angle ƒ as the measure of angle feta. Since the triangle is isosceles, the base angles are equal to each other. We can use the property that the sum of the angles in a triangle is 180 degrees to find angle ƒ.

Let's denote the base angles as x and the vertex angle as 2x. Since the base angles are equal, we have:

x + x + 2x = 180

4x = 180

x = 45

So, the measure of the angle feta is 2x = 2(45) = 90 degrees.