A regular pentagon is divided into congruent triangles by drawing a line segment from each vertex to the center. Each triangle has an area of 24. What is the area of the pentagon

Area of pentagon .

Step-by-step explanation:

Labelled Diagram of given shape is shown below,

Given that,

A regular pentagon is divided into congruent triangle. each triangle has an area of .

So, Regular pentagon has an all sides are equal and all the corresponding angles are also equal. pentagon has an each angle measure is ° and side says .

Here, According to Question

All triangles are congruent then there area will be same.

∴  area of pentagon = area of Δ + area of Δ + area of  

                                                     Δ + area of Δ + area of Δ.

                                                 =           {Given that}

                                                 =

Hence,

Area of pentagon .

312312

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.