Question

Solve AEFG. Round all measurements to the nearest tenth.
E
5.8 cm
F
4.9 cm

Answer 1

To determine the length of the other side of the triangle, we must use Pythagora's theorem.

a^2 = b^2 + c^2

( where a = |EG| )

=> a^2 = 5,8^2 + 4,9^2 = 33,64 + 24,01 = 57,65

<=> a = the square root of 57,65 = 7,6

To determine what angle G is, we must use the tangens of angle G;

tanG = |EF|/|FG|

=> tanG = 5,8/4,9 = 1,2

therefor angle G = 49°48'28"

because the sum of the angles of a triangle equals 180;

180°-90°-49°48'28"6= 40°11'31"4 = angle E

Answer 2

Pythagorean theorem:

c^2 = a^2 + b^2

Plug in the values:

c^2 = 5.8^2 + 4.9^2
c^2 = 33.64 + 24.01
c^2 = 57.65

Square root the equation:

c = 7.6