The Triangle an...

A ladder $$25m$$ long is leaning against a wall that is perpendicular to the level ground. The bottom of the ladder is $$7m$$ away from the base of the wall. If the top of the ladder slips down $$4m$$, how much will the bottom of the ladder slip?

In the given figure, side $$BC$$ of $$\triangle ABC$$ is produced to $$D$$. Find $$\angle A$$

Which of the following set of measurements will form a triangle

A $$34$$ m long ladder reached in the window which is $$16$$ m above from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

Find the values of x and y in the following figures

Find the measure of the angle $$x$$ in the given figure.

Four pair of showing measurements of sides $$\overline{AB}, \overline{BC}$$ and $$\overline{CA}$$ of $$\Delta ABC$$ are given below.
Show which of the following pair/s is/are shows right angle triangle.
Pair P: AB = 25             BC = 7            AC = 24
Pair Q: AB = 8              BC = 6            AC = 10
Pair R: AB = 3              BC = 4            AC = 6
Pair S: AB = 8              BC = 6            AC = 5

From the given figure, find the values of $$x$$ and $$y$$ respectively.

A tree is broken at a height of $$5$$ m from the ground and its top touches the ground at a distance of $$12$$ m from the base of the tree. Find the original height of the tree.

A tree is broken at a height of $$8$$m from the ground and its top touches the ground at a distance of $$15$$m from the base of the tree. Find the original height of the tree.