Scholastic Aptitude Test - Mathematics - Triangles

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Question - 1

Sides of triangles are given below, the triangle is (2a.- 1) cm, 2√2a cm and (2a + 1) em

  • A Obtuse
  • B Acute
  • C Equilateral
  • D Right angled.

Question - 2

In a rhombus of side 10 em, one of the diagonals is 12 em long. Find the length of the second diagonal.

  • A 15cm
  • B 16cm
  • C 17cm
  • D none

Question - 3

In a quadrilateral ABCD, \(\lfloor B=90^0\)
If AD+ BC2 + CD2, then 

  • A 700
  • B 800
  • C 900
  • D none of these

Question - 4

In an equilateral triangle with side a, altitude and is

  • A \({\sqrt{3a}\over2},{\sqrt3\over2}a\)
  • B \({\sqrt{3a}\over4},{\sqrt3\over4}a^2\)
  • C \({\sqrt3\over 2}a,{\sqrt3\over 4}a^2\)
  • D none of.these

Question - 5

The length of the diagonals of a rhombus are 6 cm and 8 cm. Find the length of each side of the rhombus

  • A 2cm
  • B 3cm
  • C 4cm
  • D 5cm

Question - 6

In given figures. ΔODC ~ ΔOBA ,  and .Find  and 

  • A 450
  • B 350
  • C 550
  • D none of these

Question - 7

The sides of a triangle are 50 em. 78 cm and 11 Z cm. The smallest altitude is

  • A 20cm
  • B 30cm
  • C 40cm
  • D 50cm

Question - 8

The sides BA and DC of quadrilateral ABCD are produced as shown. Then which of following is correct

  • A 2x0+y0=a0+b0
  • B \(x^0+{1\over2}y^0={a^0+b^0\over 2}\)
  • C x0+y0=a0+b0
  • D a0+b0=x0+y0

Question - 9

If  and ΔCAB ~ ΔCED value of x is 

  • A 4cm
  • B 5cm
  • C 6cm
  • D 7cm

Question - 10

If ΔABC and 6.DEF are similar triangles in which \(\lfloor A=47^0\) and \(\lfloor E=83^0\), then \(\lfloor C\) is

  • A 500
  • B 200
  • C 600
  • D 800