301,072 views
7 votes
7 votes
Sketch out the given angle that have the measures of 60 and 30 with a length of 4

Sketch out the given angle that have the measures of 60 and 30 with a length of 4-example-1
User Sladjan
by
2.5k points

1 Answer

19 votes
19 votes

The angles given are 60 and 30. That makes the third angle 90 degrees. When we have a right angled triangle, then we can solve for unknown sides using the Pythagoras theorem.

Using the Pythagoras theorem, one of the established "Pythagorean triplets" is 3, 4 and 5.

The hypotenuse is the longest side, in this case side length 5. The other two sides have lengths 3 and 4.

The shorter side (3 units) would be opposite the smaller angle 30, while the longer side (4 units) would be opposite the larger angle 60.

Hence the triangle would appear as follows;

Sketch out the given angle that have the measures of 60 and 30 with a length of 4-example-1
User Jake Moritz
by
2.9k points