The pennant below is in the shape of an isosceles triangle. Determine and state the length of the base.

A. 24
B. 5
C. 10
D. 12

C. 10

Step-by-step explanation:

we know that

The height of an isosceles triangle divide the triangle into two equal right triangles.

so

Applying the Pythagorean Theorem at one triangle

solve for x

solve the quadratic equation by graphing

using a graphing tool

The solution is x=5

see the attached figure

therefore

The length of the base is

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )