The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
There are no properties because you can do anything with subtraction and division
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or .
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or .
So, the volume of the ball is 65.548 cm³.
Answer:
Step-by-step explanation: