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jarptica [38.1K]
2 years ago
11

the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base

of the triangle? pls help this is a important question
Mathematics
2 answers:
Otrada [13]2 years ago
8 0

Solution:

<u>Note that:</u>

  • Area of triangle = 6 3/8 yd²
  • Height of triangle = 2 1/2
  • Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

  • 1/2 x base x altitude = 6 3/8 yd²
  • => 1/2 x base x 2 1/2 = 6 3/8 yd²
  • => 1/2 x base x 5/2 = 6 3/8 yd²
  • => 5/4 x base = 6 3/8 yd²
  • => base = 6 3/8 ÷ 5/4 yd
  • => base = 51/8 x 4/5 yd
  • => base = 51/2 x 1/5 yd
  • => base = 51/10 yd

The length of the base is 51/10 yards.

fgiga [73]2 years ago
5 0

\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}

  • Area of triangle = 6 3/8 yards²
  • Height of triangle = 2 1/2 yards

\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}

  • Base of triangle = ?

\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}

\boxed{\mathfrak{area =  \frac{1}{2}  \times base \times height}}

We are already given the values, Let's plug them and solve for x i.e base

\bf\: 6 \frac{3}{8}  =  \frac{1}{ \cancel2}  \times x \times  \cancel2 \frac{1}{2}

\bf \:  6\frac{3}{8}  = x \times  \frac{1}{2}

Convert the mixed number to an improper fraction

\bf \:  \frac{51}{8}  =  \frac{1}{2} x

Multiply both sides of the equation by 2

\boxed{ \tt \: x =  \frac{51}{4} }

➪ <em>T</em><em>h</em><em>e</em><em>r</em><em>e</em><em>f</em><em>o</em><em>r</em><em>e</em><em>,</em><em> </em><em>T</em><em>h</em><em>e</em><em> </em><em>b</em><em>a</em><em>s</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>t</em><em>r</em><em>i</em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em> </em><em>i</em><em>s</em><em> </em><em>5</em><em>1</em><em>/</em><em>4</em><em> </em><em>y</em><em>a</em><em>r</em><em>d</em><em>s</em><em>.</em><em>.</em><em>.</em><em>~</em>

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