Does every right triangle have an angle _____ The other two angles are _______
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Does every right triangle have an angle _____ The other two angles are _______
Let's analyze the problem to understand how the angles are defined in a right triangle.
A right triangle is defined as a triangle that has one angle equal to . This is known as a right angle. Because the sum of all angles in any triangle must be , the two remaining angles must add up to (i.e., ).
In a right triangle, the right angle is always present, leaving the other two angles to be less than each. These angles are called acute angles. An acute angle is an angle that is less than .
To summarize, the angle types in a right triangle are:
Given the choices, the description "Straight, sharp" correlates to the angle types in a right triangle, as "Straight" can be associated with the angle (though it's generally called a right angle) and "Sharp" correlates with acute angles.
Therefore, the correct aspect of the other two angles in a right triangle are straight (right) and sharp (acute), which matches the correct choice.
Therefore, the solution to the problem is Straight, sharp.
Straight, sharp
In a right triangle, the side opposite the right angle is called....?
A right angle measures exactly and forms a perfect corner (like the corner of a square). A straight angle measures and forms a straight line. In triangles, we only deal with right angles!
Acute angles are less than and look 'sharp' or pointed. Since the two non-right angles in a right triangle must add up to , each one must be less than , making them acute!
No! If two angles were each, they'd already add up to , leaving no room for a third angle. Remember: all triangle angles must sum to exactly .
Think of it this way: Right triangles are 'right' because they have exactly ONE right angle. The other two angles are always smaller (acute) because they have to share the remaining between them!
Some problems use informal terms: 'straight' often refers to the right angle (though this can be confusing), and 'sharp' refers to acute angles. Always focus on the actual angle measurements: one and two less than .
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