# Pythagoras Theorem ICSE Class-9th RS Aggarwal Maths Goyal Brothers

**Pythagoras Theorem ICSE Class-9th RS** Aggarwal Mathematics Solutions Goyal Brothers Prakashan Chapter-10. therefore We provide step by step Solutions of Exercise / lesson-10 **Pythagoras Theorem** for **ICSE Class-9 RS** Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-10 A to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

**Pythagoras Theorem ICSE Class-9th RS** Aggarwal Mathematics Solutions Goyal Brothers Prakashan Chapter-10

### Statement of Pythagoras Theorem

Pythagoras theorem states that “**In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides**“. The sides of this triangles have been named as Perpendicular, Base and Hypotenuse. Here, the **hypotenuse** is the longest side, as it is opposite to the angle 90°

### Pythagoras Theorem Formula

### Applications of Pythagoras Theorem

- To know if the triangle is a right-angled triangle or not.
- In a right-angled triangle, we can calculate the length of any side if the other two sides are given.
- To find the diagonal of a square.

### Exercise – 10, **Pythagoras Theorem ICSE Class-9th RS** Aggarwal Mathematics Solutions Goyal Brothers Prakashan

Question 1

In Triangle ABC , angle C =90 if BC = a and AB=c find

(i) ……………

(ii) ………………..

(i) …………………

Answer

Question 2

length …………………….. hypotenuse

Answer

Question 3 and Question 4

3- a rectangular ………………..diagonal

Answer

Question 5 and Question 6

5- a ladder ……………… building

Answer

Question 7

a ladder 15 m ……………street.

Answer

Question 8 and Question 9

8-……………..ABCD is a quadrilateral …………….length of AB

Answer

Question 10

in a rhombus ……………. area of rhombus

Answer

Question 11

………. find area of trapezium ABCD

Answer

Question 12

the side ……………….. triangle

Answer

Question 13

find altitude ………………. cm

Answer

Question 14

in rhombus ABCD …………..

Answer

Question 15

in triangle ABC ……………….

………………

…………..

Answer

Question 16

two pole ……………………………. tops

Answer

Question 17

in triangle ABC , if AB=AC, and D is a point on BC prove that ………………..=BD x CD

Answer

–: End of **Pythagoras Theorem ICSE Class-9th RS** Aggarwal Solutions :–

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