45-45-90 Right Triangle

Rules of a 45-45-90 Triangle

When we are talking about a “45-45-90 triangle”, those are the numbers thatrepresent the measures of the angles of that triangle. So, it means the triangle has two 45 degree angles and one 90 degree angle.

 The hypotenuse will always have a length longer than the legs

45

45

90

Formula In plane geometry, constructing the diagonal of a square results in a triangle whose three angles are in the ratio 1 : 1 : 2, adding up to 180° or π radians. The sides in this triangle are in the ratio 1 : 1 : √2, which follows immediatel from the Pythagorean theorem.

x

Other formulas:

Exercise yourself

8

8

?

What’s the answer?

8 2

8

8

End of Slide