Question

if the area of a right isosceles triangle is50sq.m. what is the length of the identical sides of a triangle

Answer 1

Answer:

We have,

in an right isosceles triangle, equal sides act as base and height . third side(unequal side) can't be base and height as it can never be equal to rest one.

Now,

let equal sides be 'a'.

we know,

area of a right isosceles triangle =

\begin{lgathered}\frac{1}{2} \times base \times height \\ = > \frac{1}{2} \times a \times a = 50 \\ = > \frac{1}{2} \times {a}^{2} = 50 \\ = > {a}^{2} = 100 \\ = > a = \sqrt{100} \\ = > a = 10m\end{lgathered}

2

1

​

×base×height

=>

2

1

​

×a×a=50

=>

2

1

​

×a

2

=50

=>a

2

=100

=>a=

100

​

=>a=10m

​

Regards ur amrit