Question

A right angled isolated triangle has hypotenuse of 12cms vlwhat is area

Answer 1

Solution:

The area is 36 square centimeters.

Explanation:

Let us suppose ABC is the right angled isosceles triangle with hypotenuse AC.

Let the measure of other two sides are x since for isosceles triangle, two sides are equal.

Now applying the Pythagorous theorem, we get

\begin{lgathered}x^2+x^2=12^2\\\\2x^2=144\\\\x^2=72\\\\x=6\sqrt2\end{lgathered}

x

2

+x

2

=12

2

2x

2

=144

x

2

=72

x=6

2

Now, we know the area of a triangle is given by

\begin{lgathered}A=\frac{1}{2} \times \text{ Base} \times \text{ Height}\\\\A=\frac{1}{2} \times 6 \sqrt2 \times 6 \sqrt2\\\\A=36\end{lgathered}

A=

2

1

× Base× Height

A=

2

1

×6

2

×6

2

A=36

Therefore, the area is 36 square centimeters