Acute Triangle Practice

Quesion icon
Question 1
Which of the following triangles are acute triangles?

identify all the acute triangles

Answer

Select and check your answer...
Answer icon
A. I & II
B. II & III
C. III & IV
D. I & IV
Check Answer

Step by Step Solution 

Solution icon
Step 1
For triangle I, all the internal angles of this triangle are <90°. Hence, it is an acute triangle.
Triangle I is an acute triangle
Solution icon
Step 2
As for triangle II, one of the internal angle is 90°. Since this angle is not <90°, it is not an acute triangle.
Triangle II is not an acute triangle
Solution icon
Step 3
Now, for triangle III, one of the internal angle is 111° which is not <90°. Hence, it is not an acute triangle.
Triangle III is not an acute triangle
Solution icon
Step 4
For triangle IV, all the internal angles are <90°. Hence, it is an acute triangle.
Triangle IV is an acute triangle
Solution icon
Step 5
Clearly, only triangle I and IV are acute triangles. Therefore, the answer is D.
Show Step 1
Hide This Step
iPod Touch & iPhone
iPad
Graphs & Equations
Algebra
Exponents
Symmetry
Fractions
Measurements
Interest
Angles
Triangles
Useful Resources