Question

The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

Answer 1

In an isosceles triangle, two sides are congruent. Let's call the congruent sides 'a' and the remaining side 'x'.

Step-by-step explanation:

In an isosceles triangle, two sides are congruent. Let's call the congruent sides 'a' and the remaining side 'x'. In this case, the given length is '3 inches' and the unknown length is 'x'.

Using the ratio of the lengths of the sides, we can write the following equation: a/x = 3/0.5 inches. Cross-multiplying, we get ax = 1.5 inches. To find a, we need more information or an additional equation.

Answer 2

Hi

as the triangle is rectangle isoceles, then the three side are :

x , x , 6 where 6 is the hypotenuse.

So using pythagoras theorem we know that : x²+x² = 6²

2x² = 36

x² = 36/2

x² = 18

x = √18