Area of a Right Isosceles Triangle

A square hall has a triangular verandah along one of its sides. If the side of a square is $50 \mathrm{m}$ and the verandah is an isosceles right triangle, then find the area of the hall and verandah altogether.

What is the ratio of the areas of $△ABD$ and $ABC$, if $BC=CD.$

By how many times will the area of a triangle increase/decrease, if the base is tripled and height is halved$?$

Area of a triangle with base $b$ and height $h$$=$ _____.

Area of a right isosceles triangle with equal side as $a$ units$=$ _____.

In $△PQR, S$ is a point on $QR$ such that $PS\perp QR.$ If the area of triangle $PQS$ is $56 {\mathrm{cm}}^2,$$PS=8$ cm and the ratio of the areas of $△PQR$ to area of $△PQS$ is $4:3,$ then find the length of the side $QR.$

Find the area of following triangle whose base $\left(b\right)$ and height $\left(h\right)$ are as follows.

$b=1.2$ m and $h=1.9$ m

Find the area of following triangle whose base $\left(b\right)$ and height $\left(h\right)$ are as follows.

$b=4.2$ cm and $h=6.1$ cm

Find the area of following triangle whose base $\left(b\right)$ and height $\left(h\right)$ are as follows.

$b=11.5$ cm and $h=12$ cm

Find the area of following triangle whose base $\left(b\right)$ and height $\left(h\right)$ are as follows.

$b=7$ cm and $h=7$ cm