9514 1404 393
Answer:
- 28 +10√3
- 81 -30√2
- 54 +36√2
Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
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2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
Answer:
Option D
Step-by-step explanation:
I evaluated the numbers in the parentheses and multiply both of them. Then I found the answer that is equivalent to mine. I got 7/10, which is also equal to 7.0 x 10^-1.
Hope this helps! :)
That's false. If they share a congruent angle and the sides adjacent to it are
also congruent, then the triangles are also congruent. In order for them to be
similar, all that's necessary besides the congruent angle is that each side
adjacent to it be in the <em>same ratio</em> between the two triangles.
Answer:
Step-by-step explanation:
Answer: C. 
is the missing statement.
Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)
Prove: 
Proof: 1. Draw 
(construction)
2. 
(Angles with the same measure are congruent.)
3. (Reflexive Property of Congruence)
4. 
(AA criterion for similarity)
5. BC:DC=AC:BC (Corresponding sides of similar triangles are proportional.)
6.
(cross multiplication)----------(1)
7. 
(Angles with the same measure are congruent)
8. 
(Reflexive Property of Congruence)
9. 
(AA criterion for similarity)
10. AB:AD=AC:AB⇒
--------------(2)
equation (1) + equation (2) ⇒
⇒
