The SSS test and right triangles
Answers are for parents and teachers.
1
A triangle similar to one with sides 10, 14, 16 has perimeter 100. How long is its smallest side?
25
2
Are triangles with sides 9, 12, 16 and 12, 16, 21 similar? Check.
No: 12/9 = 16/12 = 4/3 but 21/16 ≠ 4/3.
3
A right triangle similar to one with hypotenuse 25 and leg 15 has hypotenuse 5. How long is its corresponding leg?
3
4
A right triangle with legs 9 and 12 has area 54. What is the area of the similar triangle with legs 3 and 4?
6
5
Why can we say corresponding angles are equal once similarity is shown by SSS?
By the definition of similar triangles, corresponding angles are equal.