Triangles Test ...

In triangle ABC, $$BC^2$$ + $$AB^2$$ = $$AC^2$$, then __________ is a right angle

Two angles of triangle ABC are $$\displaystyle 85^{\circ}$$ and $$\displaystyle 65^{\circ}$$  while the  two angles of another triangle DEF are $$\displaystyle 30^{\circ}$$ and $$\displaystyle 65^{\circ}$$.Which of the statements is correct?

The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If $$AE=4 cm, AF= 8$$ cm and AB $$=12$$ cm. find the perimeter of the parallelogram ABCD.

$$\angle BAC$$ of triangle $$ABC$$ is obtuse and $$AB=AC$$. $$P$$ is a point in $$BC$$ such that $$PC= 12$$ cm. $$ PQ $$ and $$PR$$ are perpendiculars to sides $$AB$$ and $$AC$$ respectively. If $$PQ= 15$$ cm and $$=9$$ cm; find the length of $$PB$$.

In the following figure, M is midpoint of BC of a parallelogram ABCD.
DM intersects the diagonal AC at P and AB produced at E. Then

In the figure below AB, CD and EF are parallel lines. Given AB$$=$$ 7.5 cm, DC$$=$$ y cm. EF $$=$$ 4.5 cm, BC$$=$$ x cm and CE $$=$$ 3 cm. Calculate the values of x and y.

From the given figure, if ∠ABP=∠ACB, find AC

A line segment $$DE$$ is drawn parallel to base $$BC$$ of $$\displaystyle \Delta ABC$$ which cuts $$AB$$ at point
$$D$$ and $$AC$$ at point $$E$$. If $$AB=5 BD$$ and $$EC = 3.2$$ cm. find the length of $$AE$$.

In the figure given below, $$AB /\parallel  EF \parallel CD$$. If $$AB = 22.5 cm, EP = 7.5 cm, PC = 15 cm$$ and $$DC = 27$$ cm. Find $$AC$$

In the following figure, $$XY$$ is parallel to $$BC$$, $$AX= 9 $$ cm, $$XB= 4.5$$ cm and $$BC =18$$ cm. Find $$\displaystyle \dfrac{YC}{AC}$$