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lys-0071 [83]
4 years ago
14

The base of a triangular prism is a right triangle whose legs are 7 cm and 24 cm. The height of the prism is 30 cm. What is the

lateral area of the prism? Explain how you found your answer.
Mathematics
1 answer:
Aleks [24]4 years ago
6 0
The formula of a lateral area of a triangular prism is
LA = (1/2)*(perimeter of a triangle)*h

The perimeter of a triangle is the total of all sides.
Since the length of the base of a triangle is not given yet, use the Pythagorean theorem
base² = 7² + 24<span>²
base</span><span>² = 625
base = 25 cm
The perimeter is 7 + 24 + 25 = 56 cm

Finally the lateral area is
LA = (1/2)*56*30 = 840 cm</span><span>²</span>
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Choose the system of equations which matches the following graph:
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3

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rearrange the equations to find a match

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y= -1/2x+3

2. y= 1/2x+4

y= 1/2x+3

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3 years ago
Find the area of the triangle. please explain/show your work. thank you &lt;3
bonufazy [111]
BC = a
AC = b
ACB = C

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Substitute values.

1/2 * 4 * 4 * sine 45
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4 0
4 years ago
A line passes through the points (5, 7) and
nasty-shy [4]

Answer:

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<u>Formula:</u> \frac{y2}{x2}  -  \frac{y1}{x1}  = m

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<u>Substitute the given points into the formula:</u>

\frac{35}{16}  -  \frac{7}{5}  = m

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8 0
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a_sh-v [17]

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Hope this helps!

8 0
3 years ago
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