Answer

Verified

385.2k+ views

**Hint**: A triangle is a three sided quadrilateral and to construct a triangle one needs to draw a line segment and suppose it to be the base of the triangle. To construct a triangle one needs a protractor or a compass, a ruled scale.

**:**

__Complete step-by-step answer__Since we have been given the length of a line segment BC as 5 cm. let us draw a line segment BC using the ruler and suppose it to be the base of the triangle.

We have the measure of angle B, therefore using the protractor we will make the $ \angle PBC $ of measure equal to the $ \angle B = {40^ \circ } $ and extend the ray .

Now from the ray AP cut off the line segment BD equal to ‘l’ which is the given difference of AB- AC = 2.8 cm. Stretch your compass 2.8 cm and put the needle of the compass at B cut off BD from the ray AP.

Now join C and D. Construct the perpendicular bisector of CD meeting BP at C where the perpendicular bisector is drawn by drawing an arc on both the sides of DP with the help of compass taking C and D as centres.

Now extend the ray BP such that it meets the perpendicular bisector at the point A and then join A and C to draw the complete triangle ABC.

Hence this is the triangle constructed.

**Note**: Carefully make the perpendicular bisector of CD with the help of the compass, perpendicular bisector is basically the line which bisects the given line segment and is perpendicular to that particular line segment.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail