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Is the triangle right obtuse or acute 12 15 18?
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 a triangle with a base of 10cm and and a height of 12cm?
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.
Do 5 12 and 13 make a right triangle?
Yes
Some triangles can have more than one obtuse angle?
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).
