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PAP Geometry: 7.1-7.2 Homework WS
Draw and label your triangle(s). Show all your work!
Name _______________________
1.
Luke is stretching a 12 inch by 16 inch 4-sided canvas that he wants to be rectangular. He
measures the diagonal to be 18 inches long. Is the canvas a rectangle? Explain your answer.
2.
Sherry found a triangular stained glass window at an antique store. The sides
of the window are 18 inches, 22 inches, and 28 inches. Classify the triangle by sides and angles.
3.
Paul has 4 triangular pieces of wallpaper with the lengths given below.
Classify each triangle and then decide which piece would be the best one
to use in the corner of the room. Explain you answer.
A – 14 cm, 13 cm, 15 cm
B – 10 cm, 16 cm, 17 cm
C – 13 cm, 24 cm, 15 cm
D – 8 cm, 17 cm, 15 cm
4.
A 26 ft long ramp is used to reach 10 ft up a wall. The ramp covers a horizontal
distance of 24 ft. To make the ramp less steep, the horizontal distance is doubled.
To reach the same 10 ft height, how long will the ramp need to be? Round your answer
to the nearest thousandth.
5.
If a 650 cm ladder is placed against a building at a certain angle, it just reaches a point on the
building that is 520 cm above the ground. If the ladder is moved to reach a point 80 cm higher
up, how much closer will the foot of the ladder be to the building?
6.
Find the length of the leg of an isosceles triangle whose perimeter is 64 & altitude is 8.
7.
The medians of a right triangle that are drawn from the vertices of the acute angles have
lengths of 2 13 and
8.
73 . Find the length of the hypotenuse.
Mr. Loney is building a rectangular frame. In order to check that the frame has right angles at
its corners, he is measuring the diagonals of the rectangle. As a radical, what should be the
length of the diagonal?
2m
4m
9.
Explain why
ABC must be a right triangle.
B
6m
C
9m
D 3m
A