List of top Mathematics Questions on Triangles asked in CBSE Class X

D is the mid-point of side BC of \(\triangle ABC\). CE and BF intersect at O, a point on AD. AD is produced to G such that \(OD = DG\). Prove that OBGC is a parallelogram.

In the given figure, \( XY \parallel QR \), \( \frac{PQ}{XQ} = \frac{7}{3} \) and \( PR = 6.3 \text{ cm} \). Find the length of \( YR \).

In the given figure, \(\Delta AHK \sim \Delta ABC\). If \(AK = 10 \text{ cm}\), \(BC = 3.5 \text{ cm}\) and \(HK = 7 \text{ cm}\), find the length of \(AC\).

Using the conditions from 32(b), prove that \(PR = 2AP\).

In triangles ABC and PQR, \( \angle A = \angle Q \) and \( \angle B = \angle R \), then \( AB : AC \) is equal to :

In the given figure, \(XY \parallel QR\), \(\frac{PQ}{XQ} = \frac{7}{3}\) and \(PR = 6.3 \text{ cm}\). Find the length of \(YR\).

In the given figure \(\triangle\)ABC is shown, in which DE \(\parallel\) BC. If AD = 5 cm, DB = 2.5 cm and DE = 8 cm, then the length of BC is :

In the given figure, XY || QR, \(\frac{PQ}{XQ} = \frac{7}{3}\) and PR = 6.3 cm. Find the length of YR.

It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

In the given figure, \(DE \parallel AC\) and \(DF \parallel AE\). Prove that : \(\frac{BF}{FE} = \frac{BE}{EC}\).

In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

Devansh proved that \(\triangle ABC \sim \triangle PQR\) using SAS similarity criteria. If he found \(\angle C = \angle R\), then which of the following was proved true?

In the same figure as 32(a), prove that \(\triangle AEF \sim \triangle ABC\).

Using the conditions from 32(b), prove that \(AP = 2PQ\).

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

As shown in the given figure, a girl of height 90 cm is walking away from the base of a lamp post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

If \(\Delta ABC\) and \(\Delta DEF\) are similar such that \(2 AB = DE\) and \(BC = 8\) cm, then \(EF\) is equal to :

State and prove Basic Proportionality Theorem.

In \(\triangle ABC \sim \triangle PQR\), CM and RN are medians. Prove \(\triangle AMC \sim \triangle PNR\) and \(\triangle CMB \sim \triangle RNQ\).

If \(\Delta ABC\) and \(\Delta DEF\) are similar such that \(2 AB = DE\) and \(BC = 8\) cm, then \(EF\) is equal to :

In \(\Delta ABC\), \(DE \parallel BC\). If \(AD = x\), \(DB = x - 2\), \(AE = x + 2\) and \(EC = x - 1\), then find the value of \(x\).

In the figure given, \(\Delta ABC \sim \Delta XYZ\), then find the values of \(x\) and \(y\). (Given: \(AB=4, BC=6, AC=y, XY=x, YZ=7.2, XZ=6\))

If \(\triangle ABC \sim \triangle ADE\) in the adjoining figure, then which of the following is true?

In the adjoining figure, \(AP = \frac{1}{2} AB\) and \(PQ \parallel BC\). If \(CQ = 3\) cm, then find the length of AC.

In the adjoining figure, $\triangle ABE \cong \triangle ACD$. Prove that (i) $\triangle ADE \sim \triangle ABC$ and (ii) $\triangle BOD \sim \triangle COE$.