TRIANGLES Test

TRIANGLES

This is TRIANGLES Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Two isosceles triangles have equal angles and their areas are in the ratio 16 : 25. Then, the ratio of their corresponding heights is
  • A
    \(\frac{5}{4}.\)
  • B
    \(\frac{3}{5}.\)
  • C
    \(\frac{5}{7}.\)
  • D
    \(\frac{4}{5}.\)
    Correct
2
Out of the given statements (i) The areas of two similar triangles are in the ratio of the corresponding altitudes. (ii) If the areas of two similar triangles are equal, then the triangles are congruent. (iii) The ratio of areas of two similar triangles is equal to the ratio of their corresponding medians. (iv) The ratio of the areas of two similar triangles is equal to the ratio of their corresponding sides. The correct statement is
  • A
    (ii)
    Correct
  • B
    (i)
  • C
    (iii)
  • D
    (iv)
3
If\(\Delta ABC \sim \Delta PQR\)such that AB = 1.2 cm, PQ = 1.4 cm, then \(\frac{{ar(\Delta ABC)}}{{ar(\Delta PQR)}}\)is
  • A
    \(\frac{9}{{49}}.\)
  • B
    \(\frac{6}{7}.\)
  • C
    \(\frac{3}{7}.\)
  • D
    \(\frac{{36}}{{49}}.\)
    Correct
4
A semicircle is drawn on AC. Two chords AB and BC of length 8 cm and 6 cm respectively are drawn in the semicircle. What is the measure of the diameter of the circle?
  • A
    14 cm.
  • B
    12 cm.
  • C
    11 cm.
  • D
    10 cm.
    Correct
5
ABC is a right triangle right angled at B. BD is the altitude through B. If BD = 4 cm and AD = 3 cm then AC is equal to
Question 5 figure 1
  • A
    \(\frac{{25}}{3}cm.\)
    Correct
  • B
    \(\frac{{20}}{3}cm.\)
  • C
    \(\frac{{13}}{3}cm.\)
  • D
    \(\frac{{12}}{5}cm.\)
6
A man goes 15 m due west and then 8 m due north. How far is he from the starting point?
  • A
    7 m
  • B
    17 m
    Correct
  • C
    23 m
  • D
    20 m
7
If a ladder is placed in such a way that its foot is at a distance of 12 m from the wall and its top reaches a window 9 m above the ground, then the length of the ladder is
  • A
    24 m.
  • B
    18 m.
  • C
    21 m.
  • D
    15 m.
    Correct
8
ABC is an isosceles triangle in which \(\angle C = {90^0}.\)If AC = 6 cm, then \(A{B^2}\) is equal to
  • A
    \(66\;c{m^2}.\)
  • B
    \(42\;c{m^2}.\)
  • C
    \(72\;c{m^2}.\)
    Correct
  • D
    \(36\;c{m^2}.\)
9
The length of the hypotenuse of an isosceles right triangle whose one side is \(4\sqrt 2 \;cm\;is\)
  • A
    12 cm.
  • B
    \(8\sqrt 2 \,cm.\)
  • C
    8 cm.
    Correct
  • D
    \(12\sqrt 2 \;cm.\)
10
The perimeter of an isosceles right triangle, the length of whose hypotenuse is 10 cm is
  • A
    \(20\sqrt 2 \;cm.\)
  • B
    \((10\sqrt 2 + 9)\;cm.\)
    Correct
  • C
    20 cm.
  • D
    \(10(\sqrt 2 + 1)\;cm.\)
11
The length of an altitude of an equilateral triangle of side 8 cm is
  • A
    \(8\sqrt 3 \;cm.\)
  • B
    \(6\sqrt 3 \;cm.\)
  • C
    \(5\sqrt 3 \;cm.\)
  • D
    \(4\sqrt 3 \;cm.\)
    Correct
12
In \(\Delta ABC\;if\;AB = 4\;cm,\;BC = 8\;cm\;and\;AC = 4\sqrt 3 \;cm,\)then the measure of \(\angle A\)is
  • A
    \({90^0}\)
    Correct
  • B
    \({30^0}\)
  • C
    \({45^0}\)
  • D
    \({60^0}\)
13
If three sides of a triangle are \(a,\sqrt 3 a,\;and\;\sqrt 2 a,\)then the measure of the angle opposite the longest side is
  • A
    \({120^0}\).
  • B
    \({60^0}\).
  • C
    \({90^0}\).
    Correct
  • D
    \({75^0}\).
14
A street light is fixed on a pole 6 m above the ground. If a woman of height 1.5 m casts a shadow of 3, then distance between her and the base of the pole is
  • A
    8 m.
  • B
    9 m.
    Correct
  • C
    12 m.
  • D
    10 m.
15
If a pole 18 m high casts a shadow 9.6 m long, then the distance of the far end of the shadow from the top of the pole is
  • A
    20.4 m.
    Correct
  • B
    20 m.
  • C
    24.8 m.
  • D
    28.4 m.