WorksheetsSimilar Right Triangles and Pythagorean Theorem
Total questions: 15
Worksheet time: 11mins
Which triangle is similar to ∆MNO?
∆PNM
∆MPN
∆PMN
∆NPM
Which triangle is similar to ∆ABC
∆BCD
∆CBD
∆CDB
∆BDC
In the figure, AD = 10 and BD = 5, find the length of CB.
52
53
56
5
In the figure, AD = 10 and BD = 5, find the length of AC.
52
53
56
5
In the figure, AD = 10 and BD = 5, find the length of CD.
52
53
56
5
In the figure, DF = 6, FB = 8, find the length of CF
4.5
4
6
3.5
Right triangle ACB is isosceles with right angle at C. If AB = 12, find the length of AC.
2 6
23
32
62
ABCD is a rectangle with base AB = 8 cm and height BC = 6 cm. Find the length of a diagonal.
10 cm
12 cm
14 cm
18 cm
ΔABC is isosceles with base BC. If AB = 12 cm and
BC = 10 cm, how long is the altitude to BC?
13 cm
119 cm
211 cm
261 cm
The side lengths of a triangle are 5, 9 and 13. What kind of triangle is this?
Right
Acute
Obtuse
not a triangle
ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?
SP and SR
QS and PT
PS and RS
TP and RQ
State if the triangles in each pair are similar. If so, state how you know they are similar.
Yes, AA Similarity
Yes, SSS Similarity
Yes, SAS Similarity
Not Similar
The side lengths of a triangle are 7, 8 and 10. What kind of triangle is this?
Right
Acute
Obtuse
not a triangle
The side lengths of a triangle are 32 , 7 and 11 . What kind of triangle is this?
Right
Acute
Obtuse
not a triangle
The following is a rule of thumb for safety positioning of the ladder:
The distance from the bottom of the ladder to the wall should be one-fourth of the length of the ladder.
How far up the wall will a 16-foot ladder reach if positioned properly?
415
45
43
417
