AP State Syllabus AP Board 7th Class Maths Solutions Chapter 9 Construction of Triangles Ex 3 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 9th Lesson Construction of Triangles Exercise 3

Question 1.

Construct Δ NET with measurement NE = 6.4 cm, ∠N = 50° and ∠E = 100°.

Solution:

NE = 6.4 cm, ∠N = 50° and ∠E = 100°

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

Step -2: Draw a Line segment NE of length 6.4 cm.

Step -3: Draw a ray \(\overrightarrow{\mathrm{NX}}\) maktng an angle 50° at N.

Step -4: Draw a ray \(\overrightarrow{\mathrm{EY}}\) making an angle 100° at E. Extend the ray \(\overrightarrow{\mathrm{NX}}\) if necessary to intersect ray \(\overrightarrow{\mathrm{EY}}\)

Step – 5: Mark the intersecting point of the two rays as T.

We have the required ΔNET.

Question 2.

Construct ΔPQR such that QR =6 cm, ∠Q = ∠R = 60°. Measure the other two sides of the triangle and name the triangle.

Solution:

QR = 6cm ∠Q = ∠R = 60°.

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

Step -2: Draw a line segment QR of length 6 cm.

Step -3: Draw a ray \(\overrightarrow{\mathrm{QX}}\) making an angle 60° at Q

Step -4: Draw a ray \(\overrightarrow{\mathrm{RY}}\) making an angle 60° at R.

Step -5: Mark the intersecting point of the two rays as P. PQ = 6cm and PR = 6 cm

∴ The triangle is an equilateral triangle.

Question 3.

Construct ΔRUN in which RN = 5cm, ∠R = ∠N = 45°. Measure the other angle and other sides. Name the triangle.

Solution:

RN = 5cm, ∠R = ∠N = 45°.

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

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

Step -3: Draw a ray \(\overrightarrow{\mathrm{RX}}\) making an angle 45° at R.

Step -4: Draw a ray \(\overrightarrow{\mathrm{NY}}\) making an angle 45° at N.

Step -5: Mark the intersecting point of the two rays as U. ΔRUN is the required triangle

∠U = 90°, RU = UN = 3.5 cm.

∴ The triangle is an isosceles right angled triangle.