Triangle with 3 Acute Angles

Introduction to triangle with 3 acute angles:

The triangle has three sides where the angles may differ and the name has been given to the triangle. The acute angle is nothing but the angle will be less than 90 degrees in its measure. The acute angle triangle contains all the three angles will be less than 90 degrees. Now we see about the triangle with 3 acute angles.

Triangle with 3 Acute Angles:

The triangle with three acute angles can be seen in an equilateral triangle. The triangles with three acute angles will be less than 90 degrees. The sum of these three acute angles in the triangle will be 180 degrees. In acute angled triangle, the angles will be less than 90 degree only. An example for acute angle will be shown below.

Problems on Triangle with 3 Acute Angles:

Example 1:

Find the third acute angle of the triangle where the other two acute angle measures are 57 and 77?

Solution:

The third acute angle of a triangle can be determined as follows,

The sum of the three acute angles will be 180 degrees in a triangle.

Let us assume the unknown triangle will be x

57 + 77 + x = 180

134 + x = 180

x = 180 - 134

x = 46.

Thus, the third acute angle measures about 46 degrees.

Is this topic 6th grade practice math test hard for you? Watch out for my coming posts.

Example 2:

Find the acute angle of a triangle where two angles of it are 55 degrees. Determine the third angle of an acute angled triangle?

Solution:

The two angles in the triangle are equal where its measurement is about 55 degrees.

Let us take the triangle measure and it can be calculated as explained below.

The angle which should be determine can be assumed as x or y.

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70.

Since, this is an acute angle where its measure is less than 90 degrees.