Exercise (3 – 3)
1 Draw and label each of the following triangles, use a ruler and a set square to draw their altitudes, then measure the length of each altitude. ( a )
( b )
( c )
5 cm
6 cm 9 cm
2 In the figure opposite, A B C D
6 cm 30°
6 cm
12 cm
D
30° A
is a rectangle. Draw the third altitude in the two triangles A B E and D C E
C
E
B
3 Draw the triangle A B C in which AB = 5 cm, BC = 6 cm and AC = 4 cm. Draw the altitudes of Δ A B C. Then measure their lengths.
4 Draw the triangle A B C in which AB = BC = 7.5 cm and AC = 4 cm. Draw the altitudes of Δ A B C, then measure their lengths.
5 Draw the triangle A B C in which AB = 5 cm, BC = 6 cm and the measure of ∠ B = 120° , draw the three altitudes, then determine the corresponding base to each altitude.
6 Draw the line segment B C where BC = 5 cm. D is the mid point of B C , draw D A perpendicular to B C where DA = 6 cm. Measure the length of each of A B and A C . What do you notice? 82