R s aggarwal mathematics class 7 Solutions for Chapter 15 properties of triangles

Exercises in Chapter 15 properties of triangles Grade 7

Properties of Triangles Exercise 15A

Properties of Triangles Exercise 15B

Properties of Triangles Exercise 15C

Properties of Triangles Exercise 15D

Questions in Properties of Triangles Exercise 15A

In a ΔABC, if ∠A = $72^{\circ}$ and ∠B = $63^{\circ}$ , find ∠C.

One of the acute angles of right triangle is $36^{\circ}$ , find the other.

One of the angles of a triangle is $100^{\circ}$ and the other two angles are equal. Find each of the equal angles.

Questions in Properties of Triangles Exercise 15B

In the figure given alongside, find the measure of ∠ACD.

In the figure given alongside, find the values of x and y.

Questions in Properties of Triangles Exercise 15C

If P is a point in the interior of ΔABC then fill in the blanks with > or < or =.

(i). PA + PB……. AB

(ii). PB + PC…… BC

(iii). AC …… PA + PC

Questions in Properties of Triangles Exercise 15D

The length of one side of a right triangle is 4.5cm and the length of its hypotenuse is 7.5 cm. Find the length of its third side.

The length of the sides of some triangles are given below. Which of them are right-angled?

(i). a = 15 cm, b = 20 cm and c = 25 cm

(ii). a = 9 cm, b = 12 cm and c = 16 cm

(iii). a = 10 cm, b = 24 cm and c = 26 cm

In a ΔABC, $\angle B=35^{\circ} \text { and } \angle C=55^{\circ}$ . Write which of the following is true:

(i) $A C^{2}=A B^{2}+B C^{2}$

(ii) $A B^{2}=B C^{2}+A C^{2}$

(iii) $B C^{2}=A B^{2}+A C^{2}$

A 15-m-long ladder is placed against a wall to reach a window 12 m high. Find the distance of the foot of the ladder from the wall.

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Chapters in this book

Integers

Fractions

Decimals

Rational Numbers

Exponents

Algebraic Expressions

Linear Equations in one variable

Ratio and Proportion

Unitary Method

Percentage

Profit and Loss

Simple Interest

Lines and Angles

Properties of Parallel Line

Properties of Triangles

Congruence

Constructions

Reflection and Rotational Symmetry

Three-Dimensional Shapes

Mensuration

Collection and Organisation of Data (Mean, Median, Mode)

Bar Graphs

Probability