Acute.
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.)
Given that,base = 10 cm and height = 12 cm.The area of a triangle = 1/2 * base * height= 1/2 * 10 * 12= 5 * 12= 60 sq.cm.
Yes
No. A triangle's angles total 180 degrees. An obtuse angle is more than 90 degrees, so two such angles would create an open-sided line form, not a triangle (i.e. there would be no final angle possible, the entire 180 degrees already having been used).
An obtuse triangle.
Acute.
you know a triangle is obtuse when it is larger than a right angle which is 90 degrees. ex. a clock when it is 12:15 it makes a right angle or 90 degrees.
Yes
No, they do not represent a right 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.)
10^2 + 12^2 is not equal to 16^2, so it is not a right triangle.
The area of triangle is : 60.0
No but 10 and 15 are :D
Yes.
It is: 0.5*10*12 = 60 square units
A few comments firstly. * If the triangle were to be a right-angled one then K could equal sqrt(81 + 169) = 15.8. * If K is equal to, or greater than 9 + 13 then it wouldn't be a triangle. * So if K > 15.8 then the angle opposite the it would be obtuse. So, any value from among 16, 17, 18, 19, 20 , 21 and 22 would give an obtuse triangle Furthermore, there is the 'other' triangle * If the triangle were to be a right-angled one then K could equal sqrt(169 - 81) = 9.3 * If K is equal to, or less than 13 - 9 then it wouldn't be a triangle. * So, if K > 4 the angle opposite 13 would be obtuse. So, any value from among 5, 6, 7, 8 and 9 would also give an obtuse triangle. So the answer is 12 values.