Question

Please help me out please

Answer 1

Answer:

110.9 sq ft

Step-by-step explanation:

split the equilateral triangle into two right triangles. use pythagorean theorem to discover that the height is about 13.86 ft. use the area formula, A= (1/2)bh

A=(1/2)(8)(13.86)= 110.9

Answer 2

Answer:

A =  64√2 ft² = approx. 90.5 ft²

Step-by-step explanation:

Because this is an equilateral triangle, the interior angles are also equal and are 60° each.  We'll use the area-of-a-triangle formula, A = (1/2)(b)(h), to find the area of this particular triangle.  We see from the diagram that the base is 16 ft.  

Drawing an imaginary line representing the height of this triangle, and letting h represent this height, we get

sin 60° = opp / hyp = h / (16 ft) = 1/√2, so that

 h        1

----- = -----

16      √2                              16

and so √2*h = 16, and h = -------

                                              √2

                                                                                        1      16     16

Then the area of this blue triangle is A = (1/2)(b)(h) = ---- * ----- * -------

                                                                                         2      1       √2

           128           128√2

or A = -------     = ------------ = 64√2 ft² = approx. 90.5 ft²

            √2               2