R. D. Sharma Solutions for Chapter: Properties of Triangles, Exercise 6: OBJECTIVE TYPE QUESTIONS

In a right triangle, one of the acute angles is four times the other, its measure is

In which of the following can a right triangle $ABC$ be constructed?

$∆ABC$ is a right-triangle right-angled at A. If $AB=24 \mathrm{cm}$ and $AC=7 \mathrm{cm}$ then, $BC=$

If $∆ABC$ is an isosceles right-triangle right-angled at $C$ such that $AC=5 \mathrm{cm}$, then,$AB=$

Two poles of heights $6 m$ and $11 m$ stand vertically on a plane ground. If the distance between their feet is $12 m$, the distance between their tops is

A ladder is placed in such a way that its foot is $15 m$ away from the wall and its top reaches a window $20 m$ above the ground. The length of the ladder is

The hypotenuse of a right triangle is $26 \mathrm{cm}$ long. If one of the remaining two sides is $10 \mathrm{cm}$ long, the length of the other side is

A $15 m$ long ladder is placed against a wall in such a way that the foot of the ladder is $9 m$ away from the wall. Up to what height does the ladder reach the wall?