Question

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

Answer 1

Answer:

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

$13^2=(x+7)^2+(2x/2)^2$

solve for x

$169=x^2+14x+49+x^2$

$2x^2+14x-120=0$

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

$2(5)=10\ units$