A=7cm , B=24cm ,C=?
A=20cm,B=21cm,C=?
A=?B=15cm,C=17cm
Answers
Answer:
Students can view and download the RD Sharma Solutions for Class 7 Maths Exercise 15.5 of Chapter 15 Properties of Triangles from the links provided below. The syllabus given by the CBSE for all the classes is completely based on the RD Sharma textbook. Hence, exam preparation using the RD Sharma Solutions for Class 7 will definitely provide students with an advantage of scoring well. This exercise explains Pythagoras theorem. Some of the topics of this exercise are listed below.
Pythagoras theorem
Corollary based on Pythagoras theorem
Converse of Pythagoras theorem
Pythagorean triplets
Download the PDF of RD Sharma Solutions For Class 7 Maths Chapter 15 – Properties of Triangles Exercise 15.5
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Access answers to Maths RD Sharma Solutions For Class 7 Chapter 15 – Properties of Triangles Exercise 15.5
Exercise 15.5 Page No: 15.30
1. State Pythagoras theorem and its converse.
Solution:
The Pythagoras Theorem:
In a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two sides.
Converse of the Pythagoras Theorem:
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle, with the angle opposite to the first side as right angle.
2. In right △ABC, the lengths of the legs are given. Find the length of the hypotenuse
(i) a = 6 cm, b = 8 cm
(ii) a = 8 cm, b = 15 cm
(iii) a = 3 cm, b = 4 cm
(iv) a = 2 cm, b =1.5 cm
Solution:
(i) According to the Pythagoras theorem, we have
(Hypotenuse)2 = (Base)2 + (Height)2
Let c be hypotenuse and a and b be other two legs of right angled triangle
Then we have
c2 = a2 + b2
c2 = 62 + 82
c2 = 36 + 64 = 100
c = 10 cm
(ii) According to the Pythagoras theorem, we have
(Hypotenuse)2 = (Base)2 + (Height)2
Let c be hypotenuse and a and b be other two legs of right angled triangle
Then we have
c2 = a2 + b2
c2 = 82 + 152
c2 = 64 + 225 = 289
c = 17cm
(iii) According to the Pythagoras theorem, we have
(Hypotenuse)2 = (Base)2 + (Height)2
Let c be hypotenuse and a Step-by-step explanation: