CHAPTER 3 EXERCISES

1- Is it possible to build a triangle using segments that measure 10 m, 5 m and 16 m? Justify your answer. [br][br][br]

2 (UnB-adapted) - The AB segment of an ABC triangle is expressed by an integer. Giving that the segments AC and BC measure, respectively, 27 cm and 16 cm. What is the maximum length value for the segment[br]AB? Justify your answer. [br][br][br]

3-When it cames to triangles, check the following items that are true:

(UnB)- A triangle is fully determined, knowing its three sides. (UnB) - Consider that, in an isosceles triangle of vertices A, B, and C, the angle Â has 10° more than twice the angle [math]\hat{C}[/math] measurement, then the sum of the two possible measurements for Â is 169°. (UnB)- A triangle is fully determined by knowing its three angles.

4-(Dolce & Pompeo) In the following items, mark the correct ones.

There is an isosceles obtuse-angled triangle. Every isosceles triangle is equilateral. [br] A scalene triangle can be isosceles. Every equilateral triangle is isosceles. There is a right-angle triangle and an isosceles triangle. A right-angle triangle is a scalene triangle. An isosceles triangle is an acute-angled triangle. Every acute-angled triangle is either an isosceles or equilateral triangle.

5 (Adapted Dolce & Pompeo) - If the triangle "ABC" has an isosceles base "BC", determine x, knowing that[br]AB = 2x-7 and AC = x +5.

6 (Adapted Dolce & Pompeo) - If the triangle ABC has the segment BC - which is an isosceles base, determine x, knowing that [math]\ \hat{B}=2x-10º \ e\ \hat{C}=30º [/math]

7 (Adapted Dolce & Pompeo) - In an isosceles triangle, the semiperimeter measure is 7.5m. Measure the sides of this triangle, knowing that the sum of the congruent sides is four times the measure of the base.

CHAPTER 3 EXERCISES

Information: CHAPTER 3 EXERCISES