Introduction to the measure of acute triangles :
Definition to the measure of acute triangles:A triangle which has all the three angles is less than 90°. This can also be tell in the words such as the angles which are smaller than the right angle triangles can be called as acute angles.The method of finding acute angles triangles which can be done by measure of two angles which are given and if measure of a side and any two angles are given.
Prolems for the Measure of Acute Triangles:
Ex1:The measurement of one of the acute angle of a triangle is 52°. Find the measure of other acute angles of the triangle?
Solution: The following steps to be taken for the measure of angles are
Step1: The addition of the measures of the two acute angles must be 90°.
Step2: If one acute angle of a right triangle is 52°, then the measure of the other acute angle is 90° - 52° =38 °
Ex 2:The measurement of an acute angle of a triangle which is given as 30° 53'. Find the other measure of acute angles of the right angled triangle?
Solution:The addition of the measure of the two acute angles must be 90°.
If one acute angle of a right triangle is 30° 53', then the measure of the other acute angle is givan as,
90° - 30° 53' = 89° 60' - 30° 53' = 59° 07'.
Ex 3: Find the measure of the angle X° from the given diagram. The other two angles which are 50° and 60°.Find the third angle of an acute angle triangle?
Solution:The addition of three angles in the triangles should be equal to 180°
The sum of the measurement of the three angles is
50° + 60° + X° = 180°.
The third angle which can be measure by the following step
X° + 110° = 180°
The X° which can be performed as follows,
X° = 180° - 110°
X° = 70°.
Practice Problem for Measure of Acute Triangles:
Find the measure of the angle X° of an acute angle triangles with the given angles 40°and 80°?
Solution: The measure of the third acute angle X° = 60°.
Definition to the measure of acute triangles:A triangle which has all the three angles is less than 90°. This can also be tell in the words such as the angles which are smaller than the right angle triangles can be called as acute angles.The method of finding acute angles triangles which can be done by measure of two angles which are given and if measure of a side and any two angles are given.
Prolems for the Measure of Acute Triangles:
Ex1:The measurement of one of the acute angle of a triangle is 52°. Find the measure of other acute angles of the triangle?
Solution: The following steps to be taken for the measure of angles are
Step1: The addition of the measures of the two acute angles must be 90°.
Step2: If one acute angle of a right triangle is 52°, then the measure of the other acute angle is 90° - 52° =38 °
Ex 2:The measurement of an acute angle of a triangle which is given as 30° 53'. Find the other measure of acute angles of the right angled triangle?
Solution:The addition of the measure of the two acute angles must be 90°.
If one acute angle of a right triangle is 30° 53', then the measure of the other acute angle is givan as,
90° - 30° 53' = 89° 60' - 30° 53' = 59° 07'.
Ex 3: Find the measure of the angle X° from the given diagram. The other two angles which are 50° and 60°.Find the third angle of an acute angle triangle?
Solution:The addition of three angles in the triangles should be equal to 180°
The sum of the measurement of the three angles is
50° + 60° + X° = 180°.
The third angle which can be measure by the following step
X° + 110° = 180°
The X° which can be performed as follows,
X° = 180° - 110°
X° = 70°.
Practice Problem for Measure of Acute Triangles:
Find the measure of the angle X° of an acute angle triangles with the given angles 40°and 80°?
Solution: The measure of the third acute angle X° = 60°.
