AP State Syllabus AP Board 7th Class Maths Solutions Chapter 9 Construction of Triangles Ex 4 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 9th Lesson Construction of Triangles Exercise 4

Question 1.

Construct a right-angled ΔABC such that ∠B = 90°, AB = 8 cm and AC = 10 cm.

Solution:

∠B = 90°, AB = 8cm, AC = 10 cm.

Step -1: Draw a rough sketch of the right angled triangle and label it with the given measurements.

Step -2: Draw a line segment AB of length 8 cm.

Step -3: Draw a ray \(\overrightarrow{\mathrm{BX}}\) perpendicular to AB to B.

Step -4 : Draw an arc from A with radius 10 cm to intersect \(\overrightarrow{\mathrm{BX}}\) at C.

Step -5: Join A, C to get the required ΔABC.

Question 2.

Construct a ΔPQR, right-angled at R, hypotenuse is 5 cm and one of its adjacent sides is 4cm.

Solution:

∠R=90D,QR=4cm,PQ=5cm.

Step -1: Draw a rough sketch of the right angled triangle and label it with the given measurements.

Step -2: Draw a line segment QR of length 4cm.

Step -3: Draw a ray \(\overrightarrow{\mathrm{RY}}\) perpendicular to QR at R.

Step -4: Draw an arc from Q with radius 5 cm to intersect \(\overrightarrow{\mathrm{RY}}\) at P.

Step -5: Join P, Q to get the required ΔPQR.

Question 3.

Construct an isosceles right-angled ΔXYZ in which ∠Y = 90° and the two sides are 5 cm each.

Solution:

∠Y = 90°,XY = YZ = 5cm.

Step- 1: Draw a rough sketch of a right angled triangle and label it with given measurements.

Step -2: Draw a line segment XY of length 5cm.

Step -3: Draw a ray \(\overrightarrow{\mathrm{YK}}\) perpendicular to XY at Y.

Step -4: Draw an arc from Y with radius 5 cm to intersect \(\overrightarrow{\mathrm{YK}}\) at Z.

Step -5: Join Z, X to get the required ΔXYZ.