Math, asked by farhan13315, 7 months ago

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 9229984
1

Answer:

...  (BC = AB)

∴ 2AB2 =

∴ AB2 =

∴ AB = 1

√2

AC​

Step-by-step explanation:

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