Construct the triangles with the measurement given in the following table. Triangle Measurements ∆ X Y Z X Y = 6 . 2 cm , ∠ Y = 30 ° , ∠ Z = 70 °

Given, X Y = 6 . 2 cm , ∠ Y = 30 ° and ∠ Z = 70 ° . When two angles and one side is given to construct a triangle, the side should be in between the angles. Here, X Y is not between the given angles. So, we have to find ∠ X so that X Y is between known angles. In △ X Y Z , ∠ X + ∠ Y + ∠ Z = 180 ° (Angle Sum Property) ∠ X + 30 ° + 70 ° = 180 ° ∠ X + 100 ° = 180 ° ∠ X = 180 ° - 100 ° ∠ X = 80 ° Step 1 : Draw the rough diagram of the triangle. Step 2 : Draw a line segment X Y = 6 . 2 cm . Step 3 : At X , draw a ray making 80 ° with X Y . Step 4 : At Y , draw a ray making 30 ° with X Y . Step 5 : Z has to lie on both the rays. So, the point of intersection of the two rays is Z . Triangle X Y Z is obtained.

Construct the triangles with the measurement given in the following table. Triangle Measurements △ A B C A B = 4 . 8 cm , A C = 4 . 8 cm , ∠ B = 35 °

In △ A B C , A B = A C = 4 . 8 cm . So, the triangle is isosceles. Step 1 : Draw a rough diagram of the triangle. Step 2 : Draw a line segment A B = 4 . 8 cm . Step 3 : At B , draw a ray making 35 ° with A B . Step 4 : To fix C , the length of A C is given. With A as centre, draw an arc of radius 4 . 8 cm which cuts the ray at C . Step 5 : Join A C . Triangle A B C is obtained.

Construct the triangles with the measurement given in the following table. Triangle Measurements ∆ M N P ∠ N = 90 ° , M P = 11 . 4 cm , MN = 7 . 3 cm

Step 1 : Draw a rough diagram of the triangle. Step 2 : Draw a line segment N M = 7 . 3 cm . Step 3 : At N , draw a ray making 90 ° with N M . Step 4 : To fix P , the length of M P is given. With M as centre, draw an arc of radius 11 . 4 cm which cuts the ray at P . Step 5 : Join P M . Triangle M N P is obtained.

Construct the triangles with the measurement given in the following table. Triangle Measurements △ P T R ∠ P = 65 ° , P T = P R = 5 . 7 cm

In △ P T R , P T = P R = 5 . 7 cm . So, the triangle is isosceles. Step 1 : Draw a rough diagram of the triangle. Step 2 : Draw a line segment P T = 5 . 7 cm . Step 3 : At P , draw a ray making 65 ° with P T . Step 4 : To fix R , the length of P R is given. With P as centre, draw an arc of radius 5 . 7 cm which cuts the ray at R . Step 5 : Join R T . Triangle P T R is obtained.

E M B I B E

Mathematics Class 7>Chapter 9 - Construction of Triangles>Exercise - 5

Telangana Board Solutions for Chapter: Construction of Triangles, Exercise 8: Exercise - 5

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Construction of Triangles, Exercise 8: Exercise - 5

Attempt the practice questions on Chapter 9: Construction of Triangles, Exercise 8: Exercise - 5 with hints and solutions to strengthen your understanding. Mathematics Class 7 solutions are prepared by Experienced Embibe Experts.

Questions from Telangana Board Solutions for Chapter: Construction of Triangles, Exercise 8: Exercise - 5 with Hints & Solutions

MEDIUM

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 9 - Construction of Triangles>Try This>Q 1

Construct a triangle with angles $105 °$ and $95 °$ and a side of length of your choice. Could you construct the triangle? Discuss and justify.

MEDIUM

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 9 - Construction of Triangles>Exercise - 5>Q 1

Construct $∆ A B C$ in which $A B = 4.5 cm, A C = 4.5 cm$ and $∠ B = 50 °$ . Check whether you get two triangles.

MEDIUM

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 9 - Construction of Triangles>Exercise - 5>Q 2

Construct $∆ X Y Z$ in which $X Y = 4.5 cm, X Z = 3.5 cm$ and $∠ Y = 70 °$ . Check whether you get two triangles.

MEDIUM

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 9 - Construction of Triangles>Exercise - 5>Q 3

Construct $∆ A N R$ with the sides $A N$ and $A R$ of lengths $5 cm$ and $6 cm$ respectively and $∠ N$ is $100 °$ . Check whether you get two triangles.