Answer:
D
Step-by-step explanation:
The longest side is twice as long as the shortest side because lets suppose I have a triangle that has vertices with angles 30 and 60, the last one has to be 90 because the total is 180 degrees. Now for a 30 60 triangle, if the hypotenuse has a length of 2, the following ratios will hold true for the other two sides. The side that shares the 90 degrees and 60 degrees corners will be of length 1 and the side that shares the 30 degrees and 90 degrees corners (vertices) will be of length sqrt(3). This is true all the time. In this case the correct answer is that the longest side is twice as long as the shortest side because the longest side is the hypotenuse with length 2 and the shortest side will be the one that shares the 90 degrees and 60 degrees corners and is of length 1.
Answer:
the required postulate which should be used here to make the triangles congruent is
C. ASA , okay
Step-by-step explanation:
because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA
I hope it helped
Answer:
Six cases are enough to construct more than one isosceles triangle
Step-by-step explanation:
An Isosceles triangle is a triangle in which at least two of it's sides are congruent.
If two of the three sides of a triangle are congruent, but the third side is of a different length, the triangle is isosceles.
If all three sides of the triangle are congruent, even though this is an equilateral triangle, it satisfies the condition of an isosceles, and it is ok to still it isosceles.
Julius might decide to split information for a better explanation, it doesn't matter the number of cases he has, but six cases should be enough to draw an isosceles triangle.
4a+5b
4(2) + 5(-3.1)
8 + -15.5
= -7.5
D. is the correct answer because vertical angles are always equal.
