Activity : Complete the proof of the theorem.
Theodem: If e measures of angles of a triangle goe
45°, 45, 90° then the length of each side containing
the right angle is 1/2 x hypotenuse.
Proof: In A ABC, ZB = 90° and LA = LC =45°
.: BC = AB
By Pythagoogs theorem.
AB² BC ² =
AB²t AC² (BC = AB)
: 2AB?
:. AB²=
:. AB= 1/2 AC
This property is called 450 45-90° theorem
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Answer:
How to Work with 45-45-90-Degree Triangles
Type 1: You're given one leg. Because you know both legs are equal, you know the length of both the legs. You can find the hypotenuse by multiplying this length by the square root of 2.
Type 2: You're given the hypotenuse. Divide the hypotenuse by the square root of 2 to find the legs (which are equal).
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