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Right-Angled Triangles

A right-angled triangle (also called a right triangle) has a right angle (90°) in it.

The right angled triangle is one of the most useful shapes in all of mathematics!
It is used in the Pythagoras Theorem and Sine, Cosine and Tangent and more.

Try it yourself (drag the points):

geometry/images/triangle.js?mode=right

There are two types of right angled triangle:

Isosceles right-angled triangle

• One right angle
• Two other equal angles always of 45°
• Two equal sides

Scalene right-angled triangle

• One right angle
• Two other unequal angles
• No equal sides

The "3,4,5 Triangle" has a right angle in it.

(Draw one if you ever need a right angle!)

It has no equal sides so it is a scalene right-angled triangle

And, like all triangles, the three angles always add up to 180°.

6701, 6707, 761, 1800, 762, 1801, 3228, 3229, 8997, 8998

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