Activity : Complete the proof of the theorem.
Theorem: If measures of angles of a triangle are 45°, 45°. 90 then the length of each
Proof - A ABC, 2B = 90° and ZA= 2C = 45°
side containing the right angle is
x hypotenuse
... BC = AB
By Pythagoras theorem
AB + BC =
AB+ - AC (BC = AB)
. 2AB =
Fig. 3.31
.. AB-
. AB
AC
This property is called 45°-45°-90° theorem.
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Answer:
Activity : Complete the proof of the theorem.
Theorem: If measures of angles of a triangle are 45°, 45°. 90 then the length of each
Proof - A ABC, 2B = 90° and ZA= 2C = 45°
side containing the right angle is
x hypotenuse
... BC = AB
By Pythagoras theorem
AB + BC =
AB+ - AC (BC = AB)
. 2AB =
Fig. 3.31
.. AB-
. AB
AC
This property is called 45°-45°-90° theorem.
Answered by
1
Step-by-step explanation:
Activity : Complete the proof of the theorem.
Theorem: If measures of angles of a triangle are 45°, 45°. 90 then the length of each
Proof - A ABC, 2B = 90° and ZA= 2C = 45°
side containing the right angle is
x hypotenuse
... BC = AB
By Pythagoras theorem
AB + BC =
AB+ - AC (BC = AB)
. 2AB =
Fig. 3.31
.. AB-
. AB
AC
This property is called 45°-45°-90° theorem.
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