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Vadim26 [7]
3 years ago
12

given 65,72 and 96 as the three sides of a triangle, classify it as one of the following in the picture. please help!!!!​

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:  A) Acute

<u>Step-by-step explanation:</u>

Compare the sum of the squares of the two smaller numbers (a² + b²) to the square of the largest number (c²).

  • If a² + b² > c², then the triangle is Acute
  • If a² + b² = c², then the triangle is Right
  • If a² + b² < c², then the triangle is Obtuse

 65² +   72²   ____   96²

4225 + 5184  ____ 9216

       9409         >     9216      <em>So, the triangle is Acute</em>.

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3 years ago
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Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

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\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}

We can find v as shown below;

\begin{gathered} u+v+90=180\text{   (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}

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