Question

Find the value of x in the isosceles triangle shown below.

a) x = square root of 54
b) x = 6
c) x = 12
d) x = square root of 135

Answer 1

In an isosceles triangle, the value of x can be found using the formula x^2 = a^2 + b^2, where a and b are the lengths of the equal sides. Substituting the given values, x is approximately 8.49.

Step-by-step explanation:

In an isosceles triangle, two sides are equal in length. Let's assume that the length of one of the equal sides is x. The formula to find the value of x is:

x2 = a2 + b2

where a and b are the lengths of the equal sides. In the triangle shown, the lengths of the equal sides are both 6. Substituting these values into the formula:

x2 = 62 + 62

x2 = 36 + 36

x2 = 72

Taking the square root of both sides:

x = √72

So, the value of x is √72 or approximately 8.49.