The length of the shorter leg of right triangle $$\(T\)$$ is 2 . If the bisector of $$\(T\)$$ 's larger acute angle intersects $$\(T\)$$ 's longer leg 1 unit from the vertex of $$\(T\)$$ 's right angle, how long is $$\(T\)$$ 's longer leg?

A.
3
B.
2.5
C.
\(\frac{8}{3}\)
D.
\(\frac{5}{2}\)
Mathematics
Competition
Math League
Exam No:2017 First Round Grades 10-12 Year:2017 Question No:29

Answer:

C

Knowledge points:

G10-12 - Geometry - Advanced Triangle Properties (Angle Bisector, Viviani's)

Solution:

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