Triangles

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1. If the sides of a triangle are 3 cm , 4 cm and 6 cm long , determine whether the triangle is right angled triangle​

2. The area of an isosceles right triangle whose equal side is 24cm , is ....

3. 

Longest side of a right-angled triangle is 9 cm long and the other side is 6 cm. What will be the length of the third side?

4. Prove that the area of triangle ABC is irrational. where the hypotenuse side is 4 cm and adjacent side is 2 cm​ ?

5. One of the two equal angles of an isosceles triangle measures 55°. Determine the other angles.

6. The perimeter of a triangle is 24 cm. Two of its sides are 8 cm and 9 cm. Find the length of its third side.

7. Each side of a ∆ is one third of its perimeter. What kind of triangle is this?

8. One of the acute angles of a right triangle is 48°. Find the other acute angle.

9.

If in a triangle LMN:

(a) ∠L = 80°, ∠M = 50°, find ∠N,

(b) ∠M = 60°, ∠N = 60°, find ∠L,

10. The angle of a triangle is in the ratio of 2: 3: 4. Find the measure of each angle of the triangle.

ANSWERS