Answer to Student's Question on Right Angle Triangle

In summary, a right angle triangle is a triangle with one angle that measures exactly 90 degrees. It has three sides and three angles, with the longest side being called the hypotenuse and the other two sides being called the legs. The Pythagorean theorem, a² + b² = c², is a key property of right angle triangles. To find the missing side of a right angle triangle, you can use this equation or trigonometric ratios. Right angle triangles have various real-life applications, such as in construction, navigation, and physics. To draw a right angle triangle, you will need a straight edge and a protractor to measure and mark the 90-degree angle.
  • #1
roni1
20
0
A student ask me the question:
Why the other angles in Right angle triangle can't be more than 90 degrees?
I want to answer him correctly to the question, What Should I Say to Him?
 
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  • #2
The sum of the interior angles in a triangle is $180^{\circ}$. Given that one angle is $90^{\circ}$ this leaves $90^{\circ}$ for the sum of the other two angles, which means that for either of the other angles, they must be greater than $0^{\circ}$ and less than $90^{\circ}$.
 

FAQ: Answer to Student's Question on Right Angle Triangle

What is a right angle triangle?

A right angle triangle is a triangle with one angle that measures exactly 90 degrees. This angle is called the right angle and is denoted by a small square in the corner of the triangle.

What are the properties of a right angle triangle?

A right angle triangle has three sides and three angles. The side opposite the right angle is called the hypotenuse and is the longest side. The other two sides are called the legs. The Pythagorean theorem, a² + b² = c², is a key property of right angle triangles.

How do you find the missing side of a right angle triangle?

To find the missing side of a right angle triangle, you can use the Pythagorean theorem, a² + b² = c². If you know the lengths of two sides, you can solve for the third side using this equation. Alternatively, you can use trigonometric ratios such as sine, cosine, or tangent to find the missing side.

What are some real-life applications of right angle triangles?

Right angle triangles are used in many real-life situations, such as construction, architecture, and engineering. They are also used in navigation and surveying to calculate distances and angles. Additionally, right angle triangles are important in physics and astronomy for calculating forces and distances between objects.

How do you draw a right angle triangle?

To draw a right angle triangle, you will need a straight edge and a protractor. First, draw a straight line for the hypotenuse. Then, using the protractor, measure and mark a 90-degree angle at one end of the line. Finally, draw the remaining two sides to complete the triangle.

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