Problem: In â–³ A B C , A B = 10 , A C = 8 â–³ A B C , A B = 1 0 , A C = 8 B C = 6 B C = 6 P P C C A B A B Q Q R R C C P P A C A C B C B C Q R Q R
Answer Choices:
A. 4.75 4 . 7 5
B. 4.8 4 . 8
C. 5 5
D. 4 2 4 2 ​
E. 3 3 3 3 ​ Solution:
Let N N P P T T A B A B C H C H A B A B △ A B C △ A B C C N + N T ⩾ C T > C H C N + N T ⩾ C T > C H C N C N T = H T = H N N C H C H C H C H P P ∠Q C R ∠Q C R 9 0 ∘ , Q R 9 0 ∘ , Q R △ C B H ∼ △ A B C △ C B H ∼ △ A B C
C H 6 = 8 10 Q R = C H = 4.8. 6 C H ​ Q R = C H ​ = 1 0 8 ​ = 4 . 8 . ​
