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Amanda [17]
3 years ago
6

The slant height is used to find the volume of a square pyramid. true or false

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0
The answer is false.

For a square pyramid, the volume is calculated by 1/3*B*h. The height should touch the tip and lie perpendicular to the base. Slant height is used for surface area, not volume.
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x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
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z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
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subtract the right-hand side's value from the left-hand side's
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b   and    CD = x

By Pythagoras Theorem

In Triangle BDC             And     In Triangle BDA

a² = h² + x²     (  1  )                        c² = h² + (x-b)²

                                                      c² = h² + x² + b² - 2xb   ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

or, c² = a² + b² - 2xb                    .....(3)

Again in ΔBDC

cos C = \frac{BD}{BC}

Or, cos C = \frac{x}{a}

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}      Proved   Answer

6 0
3 years ago
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