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Is The area of triangle A is 160 in2 and the area of triangle B is 32 in2 The triangles are similar because the area of triangle A is 5 times greater than the area of triangle B?
Yes they are similar
If the area of triangle B is 64 times greater than the area of triangle A how much greater is the perimeter of triangle B?
IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.
If a is greater than b how do you make b2 greater than a2?
Make 'b' a negative number with a higher absolute value than 'a' - for example, a = 4 and b = -5. Then b2 will always be greater than a2.
Does greater than always face one direction?
Yes. The sign for "is greater than" is > and means that the value on the left is greater than that on the right. X > Y means that X is greater than Y The opposite direction is always read as "is less than" and is also read from left to right. A < B means A is less than B .... although that means that B is greater than A, it is not read, or used, that way. If you want to indicate that B is greater than A you need to put it as B > A.
Can 11 centimeters 15 centimeters and 17 centimeters form a triangle?
11 centimeters 15 centimeters and 17 centimeters can form a triangle . It is because some of any two sides of triangle is greater than the third side . a + b >c always.
How many obtuse angles can a triangle have?
One maximum. An obtuse angle is greater than 90 degrees. Since a triangle must have all 3 angles add up to exactly 180 degrees, if there is an angle greater than 90 degrees, the other two must be less than 90 degrees together (whatever 180-B is, where B is the obtuse angle), meaning neither angle could be greater than 45 degrees, and thus the other two will always be acute.
Does any obtuse triangle have a greater area than any acute triangle?
No.Finding an obtuse triangle that does not have a greater area than any acute triangle will show the statement is false:Consider the obtuse triangle with sides 25, 25, 40 cm; andthe acute triangles with sides 2, 2, 2 cm and 40, 40, 40 cmArea of (A) obtuse triangle = 40 x 12 ÷ 2 = 240 cm2Area of (B) acute 2, 2, 2 cm triangle = 2 x √3 ÷ 2 = √3 cm2 ~= 1.7 cm2Area of (C) acute 40, 40, 40 cm triangle = 40 x (20 x √3) ÷ 2 = 400 x √3 cm2 ~= 692.8 cm2So you can clearly see that area of acute triangle (C) is greater than that of obtuse triangle (B) which is greater than acute triangle (A).Thus the area of obtuse triangle (B) is not greater than that of any acute triangle.(Obtuse triangle A has angles approx 37o, 37o, 106o, whereas triangles B and C are equilateral acute triangles with angles 60o, 60o, 60o.)
What is the area of triangle A B C if a 7 c 11 and B 100?
There is no such triangle with the given dimensions because to construct a triangle the sum of its two smaller sides must be greater than its longest side. But the area of any triangle is: 0.5*base*perpenducular height
What is a statement of the triangle inequality theorem?
The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Specifically, if a triangle has sides of lengths (a), (b), and (c), then the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). This theorem is fundamental in geometry as it ensures that a valid triangle can be formed with the given side lengths.
When is the magnitude of the sum of vectors A+B greater than that of A-BWhen is the magnitude of A-B greater than that of A+B?
none
If a is greater than or less than b is it the same as a greater than or equal b?
No. B is either more or less than A therefore B isn't the same as A.
If a is less than b and b is less than c what is greater than c?
a < b < c So, neither a nor b is greater than c.
