Question

(1) A triangle with all angles acute
(m) A triangle with one angle obtuse and the other two acute
(n) A triangle with one angle equal to a right angle and the other two angles acute
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Answer 1

Answer:

(i) Equilateral triangle

(ii) Isoscles triangle

(ii) Right Angles Triangle

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Answer 2

Step-by-step explanation:

(l) An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). ... Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

(m) An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

(n) The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

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