Complete the proof of the theorem.
Theorem : If measures of angles of a triangle are 45°, 45°, 90° then the length of each
side containing the right angle is 1
√2
hypotenuse.
Proof : In Δ ABC, ˂ B = 90° and ˂ A = ˂ C = 45°
∴ BC = AB
By Pythagoras theorem
AB2 + BC2 =
AB2 + = AC2
... (BC = AB)
∴ 2AB2 =
∴ AB2 =
∴ AB = 1
√2
AC
Answers
Answered by
1
Answer:
... (BC = AB)
∴ 2AB2 =
∴ AB2 =
∴ AB = 1
√2
AC
Step-by-step explanation:
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