Sine/Cosine Law
SOHCAHTOA
Congruent/Similar Triangles
Area of Triangle/Metric Relations
100
What is the measure of length AB? Please explain your answer.
2.89m or 5/sqrt(3)m
100
What is the measure of angle ABC?
66.04 degrees
100
Are the following triangles congruent? Justify your answer.
No!
100
What is the measure of line segment AC?
3.6 units
200
Triangle PQR is drawn in the diagram below. To the nearest degree, what is the value of obtuse angle PQR?
121 degrees
200
A right trapezoid is shown in the diagram below. What is the height of this trapezoid to the nearest hundredth of a metre?
5.55m
200
Are the following triangles similar? Justify your answer.
Yes, by SSS or SAS
200
What is the area of the triangle PQR?
112.5m^2
300
Three sidewalks form triangle EFG. The sidewalk from E to G is damaged and has to be completely replaced. It costs $20 to pave 1 metre of sidewalk. How much will it cost to replace the sidewalk?
$2599.22
300
What is the length of line segment SU, to the nearest centimetre?
477cm
300
In the diagram below triangle PQR is similar to triangle TSR. What is the measure of line segment QT?
4 units
300
What is the length of line segment AH?
7.2 units
400
The coordinates of the vertices of triangle PQR are given in the diagram below. What is the measure of angle Q to the nearest degree?
86 degrees
400
In the diagram below, the right triangle ABC and APQ are shown. To the nearest unit, what is the measure of line segment PQ?
228cm
400
Prove that triangle ABC is similar to triangle AHB.
See Table
400
Altitude TW was drawn in the right triangle STU. Is the following rectangle equivalent to triangle STU? Yes or no, justify your answer.
Yes, same area=150cm^2
500
Use cosine law to find the length of line segment AB. Please round your answer to two decimal places.
6.04m
500
In the diagram below, ABCD is a parallelogram. Line segment BP is perpendicular to the base AD of the parallelogram. What is the perimeter of parallelogram ABCD to the nearest centimetre?
50cm
500
In the diagram below, ABCD is a parallelogram. Prove that triangle ACD is isometric to triangle CAB.
See table
500
What is the altitude of triangle ABC from base BC?
40m