Find the value of x in the triangle shown below.
5
12
X

D. x = √119

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to find the missing side.

Step 2: Identify Variables

Leg a = 5

Leg b = x

Hypotenuse c = 12

Step 3: Solve for x

x= 10.91

Step-by-step explanation:

1. Use the Pythagoreon theorem to solve for x.

See the picture attached for the work. Let me know if anything is confusing.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

thats not a system of equations, that is a solution