Question

Fie triunghiul dreptunghic ABC cu masura unghiului A=90°,AB supra AC=3supra 4,iar $A_{ABC}$=384$cm^{2}$
Calculati:
a)perimetrul triunghiului si inaltimea AD,AD perpendicular BC,D∈(BC)=?
b)sin B,cosB,sinC,cosC=?

Answer 1

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Answer 2

AB=3k, AC=4k, BC=5k,
3kx4k:2=384 $k^{2} =64 \\ k=8 \\ AB=24 \\ ,AC=32 \\ BC=40$
P=96
AD=$\frac{24.32}{40} = \frac{96}{5}$
sinB=32/40
cosB=24/40
sinC=cosB
cosC=sinB