Answer:
272/49
Step-by-step explanation:
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Answer: Yes, Sally is correct.
Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.
Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.
Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).
A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.
Please refer to the picture attached for more information.
I'm not exactly sure what you're asking but <em />I'll give it a go.
A = x -6
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
where,
For triangle DEF, let a=10, b=7 and c=12.
Now,
Area of triangle is
Therefore, the area of triangle DEF is 34.98 square units.
Answer:
Step-by-step explanation:
Given two congruent, isosceles triangles are joined, as shown, to form a parallelogram, the largest angle of the parallelogram is 116 degrees. Write two equations. Write them find the value of a and the value of b.
We know that the sum of all the internal angles is 360 degree. So the equation will be
4 a + 2b = 360
According to the question the largest internal angle of the parallelogram is 116 degree. So a + b = 116
Now we have the two equations as
4a + 2b = 360
a + b = 116
Multiply the second equation by 4 we get
4a + 2b = 360
4a + 4b = 464
Or – 2b = - 104
Or b = 52
Now a + b = 116
Or a + 52 = 116
Or a = 116 – 52
Or a = 64
Therefore the values of a and b are 64 and 52 degrees
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