PROPERTIES OF TRIANGLE WORKSHEET

Find the values of the variables, give brief reasons.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle?

Solution

Problem 7 :

Two sides of an isosceles triangle measure 4 and 8. Which of the following choices could be the measure of the third side?

(a)  10   (b)  8    (c) 6    (d)  4

Solution

Problem 7 :

In ΔGAB, m∠G = 35º and m∠A = 52º. Which side of the triangle is the longest side?

Solution

Problem 8 :

In ΔABC, AB = 4x + 2, BC = 5x - 3, and AC = 2x + 4. The perimeter of the triangle is 36 units. Which angle in the triangle has the largest measure?

Solution

Answer Key

1)  m = 60

2)  b = 30

3) x = 80 and y = 60

4)   x = 12 cm

5)  a = 62, b = 80 and 

x = 142

6)  not

7)  8

8)  longest side is AG.

9)  Angle C

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