Pleas answer it now in two minutes

FI = 69

Step-by-step explanation:

So first off we look at if these 2 right triangles are congruent to each other.

They infact are by rule AAS (angle, angle, side). FGH and FIH are both 90 Degrees so that is a congruent angle. --> It is given that FHG and FHI are both

60 Degrees --> and we know that FH is equal from mirroring => from this we get, AAS Which proves they are congruent. From this we pull that FG = FI and thus, FI is 69

Hope this helps!

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).