Practice Exercise Triangle Tutorials

 

 Triangle Review:   Fundamentals of Triangle ,  Formula’s for Triangle , Types of Triangle , 45° – 45° – 90° Triangle , 30° – 60° – 90° Triangle , Congruent Triangles, Similar Triangles

Class Questions :   Practice Examples 1,   Practice Examples 2

Practice Questions :   Exercise 1, Exercise 2, Exercise 3 ,  Exercise 4

                                                                          

Q.11

In below figure what is the area of the shaded region if CD is half of AB?

pra tri 2

pra tri 9 1

Solution;

Δ ABC is a 30° – 60° – 90° triangle, so the length of sides are in the ratio of 1: √3: 2.

If we draw some more lines, we will get following figure.

pra tri 2

Now it is easier to find the area of the shaded region.

The shaded region is a triangle ADC.

Height = AO = BC = √3m

Base DC = ½  x m

= m/2

pra tri 2-3

Correct answer choice is ‘C’.

                                                                     

Q.12

pra tri 1

In the above figure PQ = XY, PR = XZ, QR = YZ and XY = XZ then what is the value of ‘a’?

A.  65°

B.  55°

C.  40°

D.  50°

E.  120°

Solution;

As given in the question PQ = XY, PR = XZ and QR =YZ that means both are congruent triangles. Here it is also given that XY = XZ which defines

Δ XYZ as an Isosceles triangle.

In Δ XYZ; ∠ Z = 65°, ∠ Y will also be = 65° then ∠ X = 180° – 65° – 65°

∠ X = 50°

In congruent triangles ∠P = ∠X, the value of   a = 50°.

Correct answer choice is ‘D’.

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 Triangle Review:   Fundamentals of Triangle ,  Formula’s for Triangle , Types of Triangle , 45° – 45° – 90° Triangle , 30° – 60° – 90° Triangle , Congruent Triangles, Similar Triangles

Class Questions :   Practice Examples 1,   Practice Examples 2

Practice Questions :   Exercise 1, Exercise 2, Exercise 3 ,   Exercise 4

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