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mylen [45]
3 years ago
11

Suppose that NOP is isosceles with base.

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Step-by-step explanation:

<u>In isocseles triangle, base angles </u><u>are</u><u> equal</u> :

base angles are angle N and angle P:

angle N=angle P

3x+17=4x+2

4x-3x=17-2

x=15

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>N</u><u>:</u>

subtitute x in angle N

=3(15)+17

=45+17

=62

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>P</u><u>:</u>

subtitute x in angle P:

=4(15)+2

=60+2

=62

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>O</u><u>:</u>

sum of all angles in a triangle is 180.

angle N +angle P+angle O=180

62+62+angle O=180

angle O=180-62-62

angle O=56

<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u> </u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>have</u><u> </u><u>any</u><u> </u><u>question</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>m</u><u>e</u><u> </u><u>k</u><u>n</u><u>o</u><u>w</u><u> </u><u>a</u><u>b</u><u>o</u><u>u</u><u>t</u><u> </u><u>i</u><u>t</u><u>.</u><u> </u><u>t</u><u>h</u><u>a</u><u>n</u><u>k</u><u>s</u>

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∴ </span>The surface area of the pyramid = 4 * (<span>0.5 * 34.2 * 28.4) + </span><span>34.2 * 34.2

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He used the wrong expression to represent the area of the base of the pyramid.
=========================================================

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=========================================================
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= area of two face with the height 52 + area of two face with the height 60 + area of the base

area of two face with the height 52 = 2 * 0.5 * 52 * 78 = 4,056  m²
area of two face with the height 60 = 2 * 0.5 * 60 * 50 = 3,000  m²
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Total area = 4,056 + 3,000 + 3,900 = 10,956 m²



















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