List of top Mathematics Questions on Triangles asked in TS POLYCET

If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:

The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:

A girl of height 90 cm is walking away from the base of a lamp post at a speed of 120 cm/sec. If the lamp post is 360 cm above the ground, then the length of her shadow after 4 seconds is:

If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:

If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:

\(\triangle ABC \sim \triangle DEF\) and their areas are respectively \(81 \text{ cm}^2 \quad \text{and} \quad 225 \text{ cm}^2\); if \(EF = 5 cm\), then \(BC=\)

In the given figure, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 

If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is

In the given figure, \(∠ADE = ∠CBA\), if AD=3.8 cm, AE=3.6 cm, BE= 2.1 cm and BC= 4.2 cm, then DE =

In any \(△ABC\), the value of \(\sin \left( \frac{A + B}{2} \right)\) is

The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is

In the figure \(∠BAO 30°, ∠BCO=40°\) then \(∠AOC = ?\)

In the\( ∆ABC; D, E\) and \(F\) are the mid points of the sides \(BC, CA\) and \(AB.\) Then area of \(∆DEF:\) area of \(∆ABC=\)_____

In the given figure \(∠BAC = 90^ \degree\),\( AD ⊥ BC, BD=9\) cm and \(CD=16\) cm then \(AC=?\)

Area of a triangle formed by the line \(x \cos \alpha + y \sin \alpha = p\) with the coordinate axes is

If \(\Delta ABC ∼ \Delta PQR\),\(∠A=32°,∠R=65°\) then \(∠B=?\)

The angle in the minor segment is

The centroid of the triangle whose vertices are (3,-5), (-7, 4), (10,-2) is ______ .