Great Geometric Hunt

The sides of a triangle are 3 cm, 4 cm, and 5 cm. Its area is:

• 15 cm2

• 12 cm2

• 9 cm2

• 6 cm2

The sides of a triangle are in a ratio of 25:14:12 and its perimeter is 510 m. The greatest side of the triangle is:

• 270 m

• 250 m

• 170 m

• 120 m

• 20 cm2

• 10 cm2

• $2\sqrt{5}$ cm2

• $4\sqrt{5}$ cm2

The photo shows a portion of the St. Petersburg-Clearwater International Airport. What is the relationship between angle 3 and angle 6?

• Alternate exterior angles

• Alternate interior angles

• Same side interior angles

• Corresponding angles

Given triangle ABC is congruent to triangle DEF. Which of the following statement is true?

(a)  $\angle\ A\cong\ \angle\ E$  (b)  $\angle\ B\cong\ \angle\ F$  (c) BC  $\cong$  EF
(d) AC  $\cong$  DE

• a

• b

• c

• d

If the largest angle in a triangle is 70 $\degree$  , what is least possible value of the smallest angle of the triangle?

• 69 $\degree$  

• 1 $\degree$  

• 40 $\degree$  

• 39 $\degree$  

Which of the following is incorrect?

• An incentre is a point where the angle bisectors meet.

• The median of any side of a triangle bisects the side at right angle.

• The point at which the three altitudes of a triangle meet is the orthocentre

• The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

The radius of an incircle of an equilateral triangle who side measures 10 units is____.

• $\frac{5}{\sqrt{3}}$

• $\frac{15}{\sqrt{3}}$

• $5\sqrt{3}$

• 15 $\sqrt{3}$

Which of the following is a Pythagorean triplet?

• 6, 8,10

• 10.15,18

• 15,25,30

• 18,24,27

Number of bricks required to construct a wall 1000cm long, 600 cm high,22.5 cm thick, if each brick measures 25cm by 12cmb y 9cm is _______.

• 50

• 50000

• 500

• 5000