Answer: 11.8
Step-by-step explanation:
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
a = 7
b = 15
c = 17
7^2 + 15^2 = 17^2 ?
49 + 225 = 289 ?
274 ≠ 289
Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.
Have an awesome day! :)
XII should be your answer.
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>
Translation is the movement of a point either<em> up, down, left or right</em> on the coordinate plane.
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
Find out more on transformation at: brainly.com/question/4289712
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The approximate length of side a is 9.12 in. The correct option is B. 9.12 in
<h3>Law of Sines </h3>
From the question, we are to determine the approximate length of side a
From the given information, we have that
m∠B = 114°, m∠C = 22°
Thus,
m∠A = 180° - (114° + 22°)
m∠A = 180° - 136°
m∠A = 44°
Now,
From the law of sines, we have that
a/sinA = b/sinB
Then,
a/sin44° = 12/sin114°
a = (12 ×sin44°)/sin114°
a = 9.12 in
Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in
Learn more on Law of Sines here: brainly.com/question/24138896
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