Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 5 - 8 of 79

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Question number: 5

» Triangles and Circles

MCQ▾

Question

In the given figure, three equilateral triangles have a common vertex then x+y+z=

Image define the three equilateral triangles

Image Define the Three Equilateral Triangles

Three equilateral triangles have a common vertex then find x + y+z

Choices

Choice (4) Response

a.

150°

b.

120°

c.

180°

d.

90°

Question number: 6

» Triangles and Circles

MCQ▾

Question

If one leg of an isosceles right-angles triangle is increased by 6 cm and the other leg is increased by 4 cm, then change in area of the triangle is 24 sq. cm. find the length of the leg of the original triangle.

Choices

Choice (4) Response

a.

512cm

b.

15cm

c.

12cm

d.

112cm

Question number: 7

» Triangles and Circles

MCQ▾

Question

Triangle PAB is formed by three tangents to circle with center O and APB=80˚ , then angle ACB equals ________

Triangle PAB is formed by 3 tangents to circle with center O

Triangle PAB Is Formed by 3 Tangents to Circle With Center O

Given the Triangle PAB is formed by three tangents to circle with center O and angle APB is 80 then find the angle AOC equals value

Choices

Choice (4) Response

a.

55°

b.

50°

c.

70°

d.

45°

Question number: 8

» Triangles and Circles

MCQ▾

Question

An exterior angle of a triangle is (4x20) and the measure of the two remote interior angles are 25 degree and (x+15) degree. x = ________.

The exterior angle of a triangle and 2 interior angles measure

The Exterior Angle of a Triangle and 2 Interior Angles Measure

Given the exterior angle of a triangle and the measure of the two remote interior angles, find the value of x

Choices

Choice (4) Response

a.

25

b.

20

c.

24

d.

29

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