Solve the triangle
triangle EFG
<G=90 degrees
e=3
f=8
8^2 + 3^2 = g^2
64 + 8 = g^2
73 = g^2
g = 73^1/2
To solve the triangle EFG, we have the following information:
Angle G is a right angle (90 degrees).
Side e has a length of 3 units.
Side f has a length of 8 units.
Since we have a right triangle, we can use the Pythagorean theorem to find the missing side.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, side e is one of the sides, and side f is the other side. We can label the missing side as side g.
Using the Pythagorean theorem, we have:
g^2 = e^2 + f^2
g^2 = 3^2 + 8^2
g^2 = 9 + 64
g^2 = 73
To find the length of side g, we need to take the square root of both sides:
g = √73
Therefore, the length of side g in triangle EFG is √73 (approximately 8.54 units).