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).
Answer:
Step-by-step explanation:
We are given
Calculation of P+Q:
now, we can combine like terms
Calculation of Q-P:
Firstly, we will distribute negative sign
now, we can combine like terms
Answer:
<T
Step-by-step explanation:
You can tell that the angles and length of the triangles are equal from the marks. For example, angle J has 2 lines on its angle so i looked for the other angle with 2 lines on it which happens to be angle S.
Comment if u dont understand
A diagram must be provided along with the question above. Based on my research, here is what I got.
<span>100 pi is the area of the entire circle
That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2
The answer is option D)25π over 2. I hope this answer helps.
Step-by-step explanation:
180° = m<A + m<B + m<C
180° = 45° +60° + m<C
180° = 105° + m<C
m<C = 180° - 105 °
m<C = 75°
