What is the area of △abc ?

enter your answer, as a decimal, in the box.

round only your final answer to the nearest tenth.

units²

triangle a b c has leg a c labeled 13 and leg b c labeled 15. angle a c b is labeled 30.5 degrees.

  49.5 units²

Step-by-step explanation:

The applicable formula is ...

  Area = 1/2·ab·sin(C) = (1/2)·15·13·sin(30.5°) ≈ 49.48499

  ≈ 49.5 . . . square units

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'.