Download 1.2 Triangles - Additional Exercises

1.2. TRIANGLES - ADDITIONAL EXERCISES
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Triangles - Additional Exercises
1. An isosceles triangle contains one angle of size 40 ◦ . What are the
possible sizes of the other angles?
2. In an isosceles right triangle, one leg has length 2 units. What are the
lengths of the other two sides?
3. In an isosceles right triangle, the hypotenuse has length 2 units. What
are the lengths of the other two sides?
4. Explain why the hypotenuse is the longest side of a right triangle.
5. The sizes of the three angles of a triangle are in the ratio 2:3:5. Find
the size of each angle.
6. True or false:
(a) An isosceles triangle has at most one acute angle.
(b) Every isosceles triangle is an equilateral triangle.
(c) A right triangle may have two sides of the same length.
(d) No equilateral triangle is a right triangle.
(e) No equilateral triangle is an isosceles triangle.
7. Angle B of a triangle is twice as big as angle C. Angle C is ten degreees
larger than angle A. Find the size of each angle.
8. The legs of a right triangle have lengths 3 and 7. Find the length of
the hypotenuse.
9. One leg of a right triangle has length 8 and the hypotenuse has length
12. Find the length of the third side.