True or False? A circumscribed about the quadrilateral below .
2 answers:
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Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that and
are the legs of the triangle and
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
Likewise:
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
Likewise:
Since ∠QAC ≅ ∠PAB:
And by substitution:
Thus:
Then by SAS Congruence:
And by CPCTC: