Answer:
B
Step-by-step explanation:
Since the triangle has 2 equal base angles (45 degrees) and 1 angle is 90 degrees, the triangle is an isosceles right triangle.
We let a be the length of one side of the right angle, so the length of the other side is also a. Applying the Pythagorean theorem we have a^2 + a^2 =14^2 => a=[tex]7\sqrt{2}[/tex]
We have the area of an equilateral triangle 1/2 the product of the lengths of the 2 sides of the right angle. S=1/2*[tex]7\sqrt{2} * 7\sqrt{2}[/tex]=49
