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WorksheetsGeometry Worksheet: Triangle Altitude and Length Calculation
Total questions: 24
Worksheet time: 1hrs 12mins
Segment GM is an altitude of △AGE. Based on the information in the diagram, what is the length of AE?
19.7
18.4
17.0
14.1
A wire is attached from the top of the pole to a stake in the ground as shown. Based on the information in the diagram, approximately how far is the stake from the base of the pole?
11.3 feet
18.8 feet
19.9 feet
24.9 feet
In △QRS, QR = 12 and m∠Q = 30°. Based on this information, what is the length of RS?
4√3
8√3
6
12
In △ABC, BD ⟂ AC and AB ⟂ BC. Based on the information in the diagram, what is the approximate length of BC?
12.0
14.4
19.7
21.6
Triangle PQR is shown. Based on the information in the diagram, what is the approximate measure of ∠R?
24.9°
27.7°
62.3°
65.1°
Triangle GEO is shown. Based on the information in the diagram, what is the length of GE?
8
8√3
12
12√2
Triangle ABC is shown. (Diagram: Triangle ABC with AB = 27, BC = 14, and a right angle at C) Based on the information in the diagram, what is the approximate measure of ∠B?
27.4°
30.4°
58.8°
62.6°
Triangle JKL is shown. Based on the information in the diagram, what is the length of JK?
8
8√3
12
12√3
In the triangle DEF, DE is perpendicular to EF and EC is perpendicular to DF. Based on the information in the diagram, what is the approximate length of DE?
12.1
15.7
19.3
27.1
Triangle PGA is shown. Based on the information in the diagram, what is the approximate measure of ∠PGA?
28.5°
32.9°
57.1°
61.5°
In square ABCD, AC = 26 feet. Based on this information, what is the perimeter of square ABCD?
104√2
104
52√2
52
In triangle ADE, BC is parallel to DE. Based on the information in the diagram, what is the length of BD?
10
12
16
28
Triangle JKL is similar to triangle MNL. Based on the information, what is the length of JM?
12
14
21
23
In △ABC, BC ⟂ AC and CD ⟂ AB. Based on the information in the diagram, what is the measure of CD?
In △PQR, QR ⟂ RP and RS ⟂ PQ. Based on the information in the diagram, what is the length of PR?
20 feet
15 feet
12 feet
7 feet
Triangle ABC is a right triangle. Based on the information in the diagram, what is the approximate measure of ∠B?
36.9°
41.4°
48.6°
53.1°
Triangle JKL is shown. Based on the information in the diagram, which equation is used to calculate the length of KL?
sin(54) = x/17
cos(36) = x/17
tan(54) = x/15
tan(36) = x/15
Triangle ABC is shown. Based on the information in the diagram, what is the length of AC?
6√3
2√3
12√3
36√3
A ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 16 feet on the wall. What is the approximate measure of the angle the ladder makes with the wall?
66.4°
64.1°
25.9°
23.6°
If the diagonal of a square is 12 millimeters, what is the area of the square?
6√2 mm²
24√2 mm²
72 mm²
144 mm²
Triangle JKL is shown. Based on the information in the diagram, what is the length of KL?
6 inches
9 inches
15 inches
20 inches
Triangle QRS is shown. Based on the information in the diagram, what is the length of QS?
5√3
10√3
15√3
30√3
Triangle ABC is similar to triangle EDC. (Refer to the diagram showing triangles ABC and EDC, with AB = (4x + 1), DE = (2x - 1), AE = 12, and EC = 4.) Based on the information in the diagram, what is the length of AB?
1.5
3
6
9
Triangle MNP is shown. (Diagram: Triangle MNP with right angle at N, Q is a point on NP, PQ = 5, QN = 10, MQ = x + 4) Based on the information in the diagram, what is the area of △MNP?
75
100
105
125
