Find the values of x and y that make these triangles congruent by the HL Theorem.
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Answer:
Step-by-step explanation:
Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.
We know that the area of a square is where l is the length. Since we know the area, we can find the square root of the area to find the side length.
So the side lengths are and
.
Since we know the hypotenuse is and one of the legs is
, we can use the Pythagorean Theorem to find the missing side.
The Pythagorean Theorem states that , where c is the hypotenuse and a/b are the legs.
We know the <em>hypotenuse </em>and <em>a leg</em>, so we can substitute inside
Squaring a square root is the same as doing nothing.
Hope this helped!
the distance bewteen points (x1,y1) and (x2,y2) is
given (5,14) and (18,3)
the distance between those points is √290