Answer:
For Triangle 1
a. Hypothenus = 4
b. Adjacent = 2√3
For Triangle 2:
a. Hypothenus = 2√2
b. Adjacent = 2
Step-by-step explanation:
For Triangle 1
NOTE: We shall be using angle 30°.
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 30°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 30 = 2 / Hypo
0.5 = 2 / Hypo
Cross multiply
0.5 × Hypo = 2
Divide both side by 0.5
Hypo = 2 / 0.5
Hypothenus = 4
b. Determination of the Adjacent
NOTE: We shall be using angle 30°.
Opposite = 2
Angle (θ) = 30°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 30 = 2 / Adj
1 / √3 = 2 / Adj
Cross multiply
1 × Adj = 2 × √3
Adjacent = 2√3
For Triangle 2:
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 45°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 45 = 2 / Hypo
1 / √2 = 2 / Hypo
Cross multiply
1 × Hypo = 2 × √2
Hypothenus = 2√2
b. Determination of the Adjacent
Opposite = 2
Angle (θ) = 45°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 45 = 2 / Adj
1 = 2 / Adj
Cross multiply
1 × Adj = 2
Adjacent = 2
