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3 years ago

Find the surface area of the triangular prism shown

Mathematics

1 answer:

patriot [66]3 years ago

4 0

The surface area of the triangular prism is 144 cm²

Explanation:

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = $ah + bh + ch + \frac{1}{2} \sqrt{-a^4+2(ab)^2 + 2(ac)^2-b^4 + 2(bc)^2 - c^4}$

On substituting the value, we get:

$A = 4 X 11 + 3 X 11 + 5 X 11+\frac{1}{2} \sqrt{-(4)^4 + 2(4X3)^2+2(4X5)^2-3^4 + 2(3X5)^2 - 5^4} \\\\A = 144 cm^2$

Therefore, the surface area of the triangular prism is 144 cm²

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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

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Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

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Lets use veita's formula.

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Let's solve this for k:

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$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

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========================================================

Explanation:

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Read 2 more answers

Find the surface area of the triangular prism shown ​

Find the surface area of the triangular prism shown