Hans is drawing triangle ABC on the front board. He wants to draw a triangle with one angle greater than 90°.Which of the following triangles would have an angle that is greater than 90°?
Answers
Final answer:
An obtuse triangle has one angle that is greater than 90 degrees. The sum of all triangle angles is always 180 degrees, hence, to create an obtuse triangle, one angle should be more than 90 degrees and the other two angles together should be less than 90 degrees.
Explanation:
Hans can draw a triangle with one angle greater than 90° by drawing what is known as an obtuse triangle. An obtuse triangle is a type of triangle where one of the angles is greater than 90°. The sum of all angles in any type of triangle always equates to 180°. Therefore, when drawing the triangle, ensure that the sum of the other two angles does not exceed 90°, otherwise, it will not be possible to have an obtuse angle. So Hans should choose the measures of angles wisely.
Learn more about Obtuse Triangle here:
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The triangle that would have an angle greater than 90 degrees would be B. m ∠ A = m ∠ B and m ∠ C =2 ( m ∠ B) and C. m ∠ B + m ∠ C = 82 deg
How to find the triangle ?
m ∠ A = m ∠ B and m ∠ C = 2(m ∠ B):
This implies that angles A and B are equal, and angle C is twice either of them.
Let m ∠ B = x. Then, m ∠ A = x and m ∠ C = 2x.
The sum of angles in a triangle is 180°, so
So, m ∠ C = 120°, which is greater than 90°.
m ∠ B + m ∠ C = 82°:
This means that , which is indeed greater than 90°. Therefore, the triangle with the property "m ∠ B + m ∠ C = 82 deg" also has an angle greater than 90°.
m ∠ B = 44° and m ∠ A = m ∠ B + 4°:**
m ∠ A = 44° + 4° = 48°.
The sum of angles A and B = 44° + 48° = 92°.
So, m ∠ C = 180° - 92° = 88°.
None of the angles exceed 90°.
Find out more on triangles at brainly.com/question/36851320
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The full question is:
Hans is drawing triangle ABC on the front board. He wants to draw a triangle with one angle greater than 90". Which of the following triangles would have an angle that is greater than 90°?
length of side AB = length of side CA and m ∠ C = 25 deg
m ∠ A = m ∠ B and m ∠ C =2 ( m ∠ B)
m ∠ B + m ∠ C = 82 deg
m ∠ B = 44 deg and m ∠ A = m ∠ B + 4 deg
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Answer:
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Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
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Answers
Answer:
27 = largest number
Step-by-step explanation:
Range = largest number - smallest number
We know the range and the smallest number
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Answers
y=mx+b
*Images below will hopefully help your understanding on how to do it :)
-Hope this helps :)
A
B
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How to do it:
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8 x 8 x 6
64 x 6 = 384³