Answer:
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The dimension of the triangle ABC is 15 cm, 17 cm, and 8 cm. And the triangle is a right-angle triangle. Then the other two angles are given as,
sin θ = 15 / 17
sin θ = 0.88235
θ = 61.93°
∅ = 90° - 61.93°
∅ = 28.07°
Let's check all the options. Then we have
A. 22.5 cm / 25.5 cm, then the sine of the angle is given as,
sin x = 22.5 / 25.5
x = 61.93°
B. 60 cm / 68 cm, then the sine of an angle is given as,
sin x = 60/68
x = 61.93°
C. 77 cm / 85 cm, then the sine of an angle is given as,
sin x = 77/85
x = 64.94°
D. 35 cm / 37 cm, then the sine of an angle is given as,
sin x = 35/37
x = 71.08°
The triangles could not be similar to triangles ABC 15 cm, 17 cm, and 8cm will be option C and D because the other angle does not match.
Correct me if im wrong :)