Practice Questions – Triangles – Class X

A man cycles \(15\ m\) towards east, turns right and cycles \(8\ m\). How far is he from the starting point ?

At what height does the tip of a \(34\ m\) long ladder placed at a distance of \(16\ m\) from a wall touch the wall ?

What is the area of a square of diagonal \(12\ cm\) ?

In \(\bigtriangleup ABC,\ \angle A=90^{\circ}\) and \(AD\perp BC\). If \(AB=5\ cm,\ BC=a\ cm\) and \(AC=b\ cm\), find the length of \(BD\) in \(cm\).

\(\bigtriangleup ABC\) is right-angled at \(C\), If \(p\) is the length of perpendicular from \(C\) to \(AB\) and \(AB=c,\ BC=a\) and \(CA=b\), which of the following is true ?

\(\bigtriangleup ABC\) is right angled at \(C\) and \(AC=\sqrt{3B}C\). What is the value of \(\angle\ ABC\) ?

The length of the diagonals of a rhombus are \(16\)cm and \(12\)cm, what is the length of the side of the rhombus ?

If \(\bigtriangleup ABC\) and \(\bigtriangleup PQR\) are similar and \(\frac{BC}{QR}=\frac{1}{3}\), find \(\frac{ar(\bigtriangleup PQR )}{ar(\bigtriangleup BCA )}\).

Amar drives \(13\ Km\) in the north west direction, turns left and drives \(5\ Km\). How far is he far the starting point ?

In \(\bigtriangleup ABC,\angle B > \ 90^{\circ}\) and \(AD\perp CB\) (produced). Identify the false statement

Identify the true statement.

Given \(XY=4\ cm,\ QR=8\ cm\) and the area of \(\bigtriangleup PXY=25\ sq.cm\), what is the area of \(\bigtriangleup PQR\) ?

Points \(P\) and \(Q\) on the sides \(AB\) and \(AC\) of \(\bigtriangleup ABC\) are such that \(PQ\|BC,\ AP:PB=2:3\) and \(AQ=4\ cm\). What is the measure of \(AC\) ?

The side of an equilateral triangle is \(10\ cm\). What its altitude ?

Consider the following figures and answer accordingly if \(\bigtriangleup ABC\sim\bigtriangleup PQR \), the \( PR\) is

If \(\bigtriangleup ABC \) and \(\bigtriangleup PQR \) are such that \( \angle A= \angle P, \angle B = \angle Q,\) then we say

If \(\angle DHF \) is right angle and \( \bigtriangleup GHF\cong\bigtriangleup GDE\), then \( FH\) is

Find the missing term, if \( DE\|AC\) and \( BC=42\)

If \(LM \| AB,\ AL = 2x+4, \ AC=4x,\ BM=x+2 \) and \(BC=2x+3\)(\(x>0\)), then \(x\) is

If \( \bigtriangleup ADE\sim \bigtriangleup ACB,\ \angle DEC = 105^{\circ} \) and \( \angle ECB = 65^{\circ}\), then \(x\) is