How many triangles exist with the given angle measures? 55°, 45°, 90° ?
2 answers:
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Answer:
Option 3rd is correct
No,
she should have added and
and compared that to
Step-by-step explanation:
In a right angle triangle, we use Pythagorean theorem.
Pythagorean theorem states that
the sum of the squares of two sides must equal the square of the third side(the side facing the right angle).
i.e,
Given a triangle with side lengths 6, 10, and 8.
If we square all the given sides, we get;
,
It can be seen that the sum of 36 and 64 is 100
⇒
which satisfies the Pythagorean theorem.
⇒ The triangle is right-angled with the side lengths 6 units and 8 units forming the right angle and the side length 10 units being the hypotenuse.
Therefore, her answer is incorrect, she should have added and
and compared that to