Question

Special Right Triangles: Decimal Answer ! What’s H and C ?! Help me please?! Round to the nearest tenth.

Answer 1

Answer:

h = 1.41

c = 3.46

Step-by-step explanation:

See the triangles diagram attached.

For the first triangle, Base = h, Hypotenuse = 2 and the angle between base and hypotenuse is 45°.

Therefore, $\cos 45 = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{h}{2}$

⇒ $h = 2 \cos 45 = \frac{2}{\sqrt{2} } = \sqrt{2} = 1.414 = 1.41$ (Answer)

{Rounded to the nearest tenth}

Again in the second triangle, Perpendicular = c, Hypotenuse = 4 and the angle between base and hypotenuse is 60°.

Therefore, $\sin 60 = \frac{\textrm {Perpendicular}}{\textrm {Hypotenuse}} = \frac{c}{4}$

⇒ $c = 4 \sin 60 = \frac{4 \times \sqrt{3} }{2} = 2\sqrt{3} = 3.46$ (Answer)

{Rounded to the nearest tenth}