Right Angle

Right Angle
How can I use a calculation that verifies there is a right-angle in my triangle?

I have a triangle which is whose sides are 5cm, 12cm and 13cm.

How can I use a calculation that verifies there is a right-angle in the triangle?

And how do I calculate the size of the smallest angle in the triangle?

Cheers

The Pythagorean states that for the 3 sides of a right triangle (2 legs and a hypotenuse - c):

a^2 + b^2 = c^2

In this case 5^2 = 24
12^=144
13^2 = 169

and 25 + 144 = 169

So you do have the Pythagorean relationship.

The legs aree 5cm and 12cm - the hypotenuse is 13 cm.
.

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Acute Angle

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Acute Angle
Definition of Acute Angle

  • Acute Angle is an angle that measures between 0 and 90 degrees.

Examples of Acute Angle

  • Any angle between 0 and 90 degrees is an acute angle.

    7°, 30°, 41°, 60°, 67.6°, 73°, 89°, etc. are all acute angles.

Solved Example on Acute Angle

Identify one or more acute angles in the figure shown.


    Solution:
    Step 1:  It can be observed from the graph that angles AOB, BOC, COD, and BOD are acute.

Related Terms for Acute Angle

  • Acute
  • Angle
  • Right Angle

Additional links for Acute Angle

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