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The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,
where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and
Hence, substituting these values in the above formula, we get,
Simplifying the terms, we get,
Adding the terms, we have,
Thus, the surface area of the triangular prism is 1664 square inches.
Here a right angled triangle given. one angle with measure given. The three sides of the triangle given 4, x, y.
We have to find, the sides which is opposite, adjacent and hypotenuse here.
We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.
The side adjacent to the given angle is x. So, here adjacent = x.
The opposite side is opposite to the given angle. So, opposite = 4.
Now we will use SOHCAHTOA that is , where x is the angle given.
To get x, we will use tan. So we will get,
We know the value of . By substituting the value we will get,
To find x, we have to move x here to the left side by multiplying it to both sides. We will get,
So we have got the value of x here.
Now to find y, we will use the trigonometric function sine.
we know the value of
By substituting the value we will get,
By cross multiplying we will get,
We will get y by dividing both sides by , we will get,
Now we will rationalize the denominator by multiplying to the top and bottom.
So we have got the required values of x and y.