Using the Pythagorean theorem, we can find the length of FG. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, FG is the hypotenuse. Let's assume FG = x units. Then, FH = 10 units and GH = 26 units.
According to the Pythagorean theorem,
x^2 = FH^2 + GH^2
x^2 = 10^2 + 26^2
x^2 = 100 + 676
x^2 = 776
Taking the square root of both sides, we get:
x = √776
Approximating √776, we find that it is approximately 27.86.
Therefore, the length of FG is approximately 27.86 units.
None of the given answer choices match the length we found.
In triangle FGH, FH = 10 units and GH = 26 units. Which is the length of FG?
A right triangle with the three corners labeled. The bottom left corner of the triangle (where it makes a right angle) is labeled F. The corner directly above F is labeled H and the right corner of the triangle is labeled G.
CLEAR SUBMIT
16 units
24 units
28 units
36 units
1 answer
1 answer