# If sides A and B of a triangle have lengths of 5 and 6 respectively, and the angle between them is #(pi)/2#, then what is the area of the triangle?

altitude on the base. Therefore,

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To find the area of the triangle given the lengths of two sides and the angle between them, we can use the formula for the area of a triangle:

[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ]

In this case, sides A and B of the triangle are given as 5 and 6 units, respectively, and the angle between them is ( \frac{\pi}{2} ) radians.

First, let's determine the base and height of the triangle:

The base of the triangle can be taken as side A, which is 5 units.

The height of the triangle can be calculated using trigonometric functions. Since the angle between sides A and B is ( \frac{\pi}{2} ) radians, the height of the triangle is the length of side B.

Now, we can calculate the area of the triangle:

[ \text{Area} = \frac{1}{2} \times 5 \times 6 ]

[ \text{Area} = \frac{1}{2} \times 30 ]

[ \text{Area} = 15 ]

Therefore, the area of the triangle is 15 square units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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