The Pythagorean Theorem
A right triangle has legs 9 cm and 12 cm.
Find the hypotenuse.
15 cm
Base = 14 cm, height = 5 cm.
Find the area.
35 cm2
A quadrilateral has 4 right angles.
Name it.
Rectangle
A parallelogram has base 18 cm and height 7 cm.
Find the area.
126 cm2
The hypotenuse of a right triangle is 17 cm, one leg is 8 cm.
Find the other leg.
15 cm
A right triangle has legs 6 cm and 11 cm.
Find the area.
33 cm2
A quadrilateral has exactly one pair of parallel sides.
Name it.
Trapezium
A rhombus has diagonals 16 cm and 30 cm.
Find the area.
240 cm2
A rectangle is 7 cm wide and its diagonal is 25 cm.
Find its length.
24 cm
The base of a triangle is 18 cm.
Its area is 72 cm².
Find the height.
8 cm
A quadrilateral has two pairs of parallel sides and all sides are equal.
Name it.
Rhombus
In a parallelogram one angle is 70°.
a) Find the other angles.
b) If the base is 12 cm and height is 5 cm, find the area.
a. 70°, 110°, 70°, 110°
b. 60 cm2
An isosceles triangle has equal sides 10 cm and base 16 cm.
Find the height belonging to the base.
6 cm
The base of an isosceles triangle is 12 cm, its legs are 10 cm.
a) How long is the altitude belonging to the base?
b) Calculate the area.
a. 8 cm
b. 48 cm2
The ratio of the angles of a quadrilateral is 4:5:6:9. Calculate the measure of its angles.
60°, 75°, 90°, 135°
A rhombus has side 13 cm and one diagonal 10 cm.
a) Find the other diagonal.
b) Find the area.
a. 24 cm
b. 120 cm2
A trapezium has bases 10 cm and 26 cm.
The non-parallel sides are both 13 cm.
Find the height.
10.25 cm
The base of an isosceles triangle is 8 cm, its legs are 15 cm.
a) Find the altitude belonging to the base.
b) Calculate the area.
c) Find the altitude belonging to the legs.
a. 14.5 cm
b. 58 cm2
c. 7.7 cm
In a quadrilateral, two opposite angles are equal, their sum 140°. The other two angles are in the ratio 3:5. Give the measure of the angles.
70°, 70°, 82.5°, 137.5°
An isosceles trapezium has bases 14 cm and 24 cm.
The legs are 13 cm.
a) Find the height.
b) Find the area.
a. 12 cm
b. 228 cm2