no all angles are 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.)
There are 12 acute angles in total. Calculation: Each side you can see a triangle(3 acute angles), totally 4 triangles... so 4*3 = 12 you can leave out the base as it is a square...
The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.
An acute Angle is smaller than a right angle, for example: If you have the Big hand on the 12 and the small hand on the 2 the inside angle is a acute angle
no all angles are 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.)
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.
An obtuse triangle.
Extend all the lines of a right-angled triangle with sides of 3, 4 and 5 units. The extension of the lines forming the right angle will produce 3 other right angles. The extension of the lines forming the other two angles will produce 6 other angles. This gives a total of 12 angles, 4 of which are acute, 4 right and 4 obtuse.
12
1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons
There are infinitely many configurations for the required shape and so the dimensions cannot be listed.
It is: cos = adj/hyp and the acute angles for the given right angle triangle are 67.38 degrees and 22.62 degrees
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.
3 type of triangles are isoceles acute and obtuse triangles.
There are many sets of side lengths that will make a right triangle. Try 3-4-5 or any multiple of those like 6-8-10. Another common one is 5-12-13 or a multiple thereof. The way to check to see if any three side lengths make a right triangle is to use the converse of the Pythagorean Theorem. If the longest side is c, calculate the value of c2 and see if it is less than, greater than or equal to a2 + b2, the sum of the squares of the other two sides. If the quantities are equal, the triangle would be a right triangle. If c2 is less than a2 + b2 the triangle would be acute. If c2 is greater than a2 + b2 the triangle would be obtuse.