Answer:
Step-by-step explanation:
Answer:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
<span>Two triangles with two sides and a non-included angle equal may or may not be congruent. If two angles on one triangle are equal, respectively, to two angles on another triangle, then the triangles are similar, but not necessarily congruent.</span>
The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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