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Natalka [10]
2 years ago
7

Find the area of the triangle with the given base and height. b = 3 m and h = 10 1/2 m

Mathematics
2 answers:
svetoff [14.1K]2 years ago
5 0

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is 10 \frac{1}{2} m.

<u>To </u><u>find </u><u>out:</u>

The area of the triangle.

<u>Solution:</u>

  • Given, base = 3m, height = 10 \frac{1}{2}m
  • We know,

\sf \: area \:  \:  of \:  \: a \:  \: triangle =  \frac{1}{2}  \times base \:  \times height

  • Therefore, the area of the triangle

\sf =  (\frac{1}{2}  \times 3 \times 10 \frac{1}{2} ) {m}^{2}  \\ \sf  = ( \frac{1}{2}  \times 3 \times  \frac{21}{2} ) {m}^{2}  \\  = \sf  \frac{63}{4}  {m}^{2}  \\  =   \sf 15\frac{3}{4}  {m}^{2}

<u>Answer</u><u>:</u>

The area of the triangle is \sf \: 15 \frac{3}{4}  {m}^{2}

Hope you could understand.

If you have any query, feel free to ask.

astraxan [27]2 years ago
5 0

Answer:

Area of triangle = \boxed{\sf{15\dfrac{3}{4}}} m².

Step-by-step explanation:

Here's the required formula to find the area of triangle :

\longrightarrow{\pmb{\sf{Area_{(\triangle)}  =  \dfrac{1}{2}  \times b \times h}}}

  • △ = triangle
  • b = base
  • h = height

Substituting all the given values in the formula to find the area of triangle :

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{1}{2}  \times b \times h}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{1}{2}  \times 3 \times 10 \dfrac{1}{2}}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{1}{2}  \times 3 \times \dfrac{20 + 1}{2}}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{1}{2}  \times 3 \times \dfrac{21}{2}}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{1 \times 3 \times 21}{2 \times 2}}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{3 \times 21}{2 \times 2}}}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  \dfrac{63}{4} \:  {m}^{2} }}

\twoheadrightarrow{\sf{Area_{(\triangle)}  =  15\dfrac{3}{4} \:  {m}^{2} }}

\star{\underline{\boxed{\sf{\red{Area_{(\triangle)}  =  15\dfrac{3}{4} \:  {m}^{2}}}}}}

Hence, the area of triangle is \bf{15\dfrac{3}{4}} m².

\rule{300}{2.5}

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