Study the figure given below and answer the following question. Name the isosceles triangles.

Given that, A triangle whose two sides are equal is known as an isosceles triangle. Here, Considering △ A D E , A D = A E = 3 cm and DE = 1 cm . As two sides are equal. ∴ △ A D E is an isosceles triangle. Now, considering △ A D C , A D = D C = 3 cm and A C = 4 cm . As two sides are equal. ∴ △ A D C is an isosceles triangle. Again considering △ A E B , A E = B E = 3 cm and A B = 4 cm . As two sides are equal. ∴ △ A E B is an isosceles triangle. Hence, the isosceles triangles are △ A D E , △ A D C and △ A E B .

Study the figure given below and answer the following question. Name the scalene triangles.

Given that, We know that a scalene triangle is the one that has all sides unequal. Considering △ A B D , A B = 4 cm , B D = 1 cm and A D = 3 cm . As all the sides are unequal. ∴ △ A B D is a scalene triangle. Now, considering △ A B M , A B = 4 cm , A M ⊥ B M and B M = 2 cm . As all the sides are unequal ∴ △ A B M is a scalene triangle. Again, we have △ A E C , A C = 4 cm , A E = 3 cm and E C = 1 cm . As all the sides are unequal ∴ △ A E C is a scalene triangle. Considering △ A M C A C = 4 cm , M C = 2 cm and A M ⊥ C M . As all the sides are unequal ∴ △ A M C is a scalene triangle. Considering △ A M E , A E = 3 cm , M E = 1 cm and A M ⊥ M E . As all the sides are unequal ∴ △ A M E is a scalene triangle. Considering △ A D M , A D = 3 cm , D M = 1 cm and A M ⊥ D M . As all the sides are unequal ∴ △ A D M is a scalene triangle. Hence, the scalenes triangles are △ A B D , △ A B M , △ A E C , △ A M C , △ A M E and △ A D M .

Study the figure given below and answer the following question. Name the acute triangles.

Given that, We know that a triangle whose all the angles are less than 90 ° is called an acute angled triangle. Here, △ A B C is an equilateral triangle whose all the sides are of 60 ° each. Therefore, △ A B C is an acute-angled triangle. From the figure, we can see that, △ A D E is also an acute-angled triangle. Similarly, △ A E B is an acute-angled triangle. Also, △ A D C is an acute-angled triangle. Hence, the acute angled triangles are △ A B C , △ A D E , △ A E B and △ A D C .

Study the figure given below and answer the following question. Name the obtuse triangles

Given that, We know that a triangle whose one of the angles is greater than a right angle, but less than a straight angle the triangle is known as obtuse-angled triangle. In figure, we find that △ A D B and △ A E C are obtuse-angled triangle as ∠ A D B and ∠ A E C make an angle greater than 90 ° but less than 180 ° .

Study the figure given below and answer the following question. Name the right triangles.

Given that, We know that a right-angled triangle is a triangle whose one of the angle is right angle which means 90 ° . Here, since A M ⊥ B C ∴ ∠ A M D = ∠ A M E = 90 ° . Also, ∠ A M B = ∠ A M C = 90 ° . These angles forming the right triangles are △ A M B , △ A M D , △ A M C , △ A M E .