1.

A field is in the form of a right triangle with hypotenuse 10 m and one side 8 m. Find the area of the field​

Answer»

Answer :-

24 sq.m

Explanation :-

Given :

  • Hypotenuse = 10m.
  • One SIDE = 8m.

Need to Find :

  • Area of field.

Solution :

We will USE Pythagoras theorem.

FORMULA Used :- H² = P² + B²

➠ 10² = 8² + B²

➠ 100 = 64 + B²

➠ B² = 100 - 64.

➠ B² = 36.

➠ B = 6m.

Now, Calculating Area of Triangle.

\underline{\boxed{\bf\pink{Area \: of \: Triangle = \dfrac{1}{2} \times b \times h}}} \\ \\

\implies{\sf{Area \: of \: Triangle = \dfrac{1}{2} \times 6 \times 8}} \\ \\

\implies{\sf{Area \: of \: Triangle = 3 \times 8}} \\ \\

\implies{\textsf{\textbf{Area of Triangle = \red{24sq. m}}}} \\ \\

Therefore, Area of Triangle = 24 sq.m.

NOTE :-

Refer to the attached PICTURE for DIAGRAM.


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