Question

a) Write down the exact value of tan 60' b) Find the value of h in this triangle, h= c) Write down the exact area of this triangle, h 60° 43​

Answer 1

Step-by-step explanation:

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Answer 2

a) The exact value of tan 60 degree is $\sqrt{3}$.

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24$\sqrt{3}$.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is the value of tan 60 degrees?

The value of tan 60 degree is $\sqrt{3}$.

What is the formula for area of a triangle?

$Area = \frac{1}{2}bh$

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is $\sqrt{3}$.

Hence, the exact value of tan 60 degree is $\sqrt{3}$.

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is $4\sqrt{3}$.

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

$tan60 = \frac{h}{4\sqrt{3} }$

⇒$\sqrt{3} =\frac{h}{4\sqrt{3} }$                   (because tan60=√3)

⇒$h=4\sqrt{3} \sqrt{3}$

⇒$h = 12$

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4$\sqrt{3}$ unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

$Area = \frac{1}{2} (4\sqrt{3} )(12)$

⇒$Area =24\sqrt{3}$

Hence, the area of the given triangle is 24$\sqrt{3}$.

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