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Answer:</h3>
A) Isosceles
E) Obtuse
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Step-by-step explanation:</h3>
Ways to Define a Triangle
Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).
Side Length
First, let's define equilateral, isosceles, and scalene.
- Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
- Isosceles - 2 of the sides are congruent.
- Scalene - There are no congruent sides; each side has a different length.
The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.
Angle Measurements
Now, let's define acute, right, and obtuse.
- Acute - All 3 angles are less than 90 degrees; all angles are acute.
- Right - 1 of the angles is exactly 90 degrees; it has a right angle.
- Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.
The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.
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to solve for x you take tangent inverse of both sides then you get what x is equal to, it rounds to 30.1
Looks like you did it backwards, hope this was helpful!!
Answer:
10) x = 8.12
12) x = 5.5
Step-by-step explanation:
10) Since the leg adjacent to the angle is given and the leg opposite to the angle needs to be figure out the Tangent ratio will be used which states Tan(32°) = 
and simplified, will give the answer 8.12 to the nearest hundreths.
12) The leg opposite to the right angle is given which means that its the hypotenuse. The hypotenuse is given and the side adjacent to the angle needs to be figured out so Cosine ration will be used. Which states; Cos(60°) = 
. Simplified further will give the value of 5.5 exact.
Hope this helped, Good Luck!
