5. ABC is an isosceles triangle in which altitudes BE and CF are drawn to
equal sides AC and AB respectively. Then:
a. BE>CF
b. BE<CF
c. BE=CF
d. None of the above
Answers
Answered by
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c)BE=CF
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Answered by
1
Answer:
and m are two parallel lines intersected by another pair of parallel lines p and q (see figure). Show that ΔABC ≌ ΔCDA.
Ans. ∵l || m and AC is a transversal.
∴ ∠BAC = ∠DCA
[Alternate interior angles]
Also p || q and AC is a transversal,
∴ ∠BCA = ∠DAC
[Alternate interior angles]
Now, in ΔABC and ΔCDA,
∠BAC = ∠DCA
[Proved]
∠BCA = ∠DAC
[Proved]
CA = AC
[Common]
∴ Using ASA criteria, we have ΔABC ≌ ΔCDA
Step-by-step explanation:
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