### Scholastic Aptitude Test - Mathematics - Triangles

#### 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