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Vikki [24]
3 years ago
14

Find the height of the triangle with area 280 sq cm and base 14 cm.

Mathematics
2 answers:
leonid [27]3 years ago
5 0

Answer:

the answer should be 40 cm

AlladinOne [14]3 years ago
5 0
<h3>Given:</h3>

Area of the triangle = 280 sq.cm

Base of the triangle = 14 cm

<h3>To Find:</h3>

The height of the triangle.

<h3>Formula:</h3>

Area of the triangle =

\large \green {\sf {\frac{1}{2} \times base \times height}}

Area of the triangle =

\large \blue {\sf {\frac{1}{2} \times 14 \times height = 280 sq.cm}}

Area of the triangle =

\large \red {\sf {7 \times height = 280 sq.cm}}

Area of the triangle =

height = \large \purple {\sf {\frac {280}{7} = 40 \: cm }}

<h2>Answer:</h2>

Height of the triangle is 40 cm.

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Answer:

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Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of  the three sides is given by:

2S+L=2,100\\ L=2100-2S

The area of the rectangular plot is given by:

A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525

Solving for 'L':

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The largest area enclosed is given by dimension of 525 m x 1,050 and is:

A = 525*1,025\\A=551,250\ m^2

5 0
3 years ago
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