Pythagoras Tripet Generator with Example Class 8

📐 Write three sets of Pythagorean triplets such that each set has numbers less than 30

❶ 3, 4, 5

❷ 6, 8, 10

❸ 5, 12, 13

✅ All numbers are < 30 and satisfy a² + b² = c²

If P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. Then, the perimeter of the quadrilateral PQSR will be

In a right angled triangle, five times the square on the is equal to four times the sum of square on the median drawn from the acute angle. prove it | Class 9 | Pythagoras Theorem

Class 9 | Pythagoras Theorem | In an Isosceles triangle ABC, AB=AC and D is a point on BC produced, Prove that AD^2=AC^2 + BD.CD

 

Class 9 Math Linear Equation, Midpoint Theorem, Pythagoras, Construction, Area and perimeter Written Test FM 25

 

Class 9 | Math Linear Equation, Midpoint Theorem, Pythagoras Theorem and Physics Sound Written Test FM 40

 

ANSWER  MATHS

1. 
The perimeter of a triangle ABC is 37cm and the ratio between the lengths of its altitudes be 6:5:4. Find the lengths of its sides.

3. 
A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs. 1500 after 4 year of service and Rs. 1800 after 10 years of his service, what was his starting salary and what is the annual increment?

4. 
ABCD is a rhombus with P,Q,R as mid-points of AB, BC and CD. Prove that PQ⊥QR.

6.
Triangle ABC is right angled at B. Given that AB=9 cm, AC= 15 cm and D,E are the mid point of the Sides AB and AC respectively, Calculate (i) Th length of BC, (ii) The are of triangle ADE

7.
In triangle ABC, AD perpendicular to BC and AD2 =BD x CD.prove that triangle ABC is a right triangle

8.
If ABC is a right angled triangle in which angle A=90°, AD is perpendicular to BC and AB:AC=3:4 and AD=8, then BD=?

In a Triangle ABC, AB=AC and D is a point on side AC such that BC^2=ACxCD, prove that BD=BC

 

Class 9 Pythagoras Theorem MCQ FM 20

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ANS Mathematics & Physics

In triangle ABC, AD perpendicular to BC and AD2 =BD x CD.prove that triangle ABC is a right triangle

 

So, triangle ABC is a right angle triangle 

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.

 

A right angle triangle has hypotenuse of length p cm and one side of length q cm. If p−q=1, find the length of the third side of the triangle.

 

In the following figure OA = 2cm = AB = 2BC=1/2 CD = 1/6 DE. Find the length of OE. Class 9 Pythagoras Theorem

 

In triangle ABC, AB > AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that AB2 + AC2 = 2.AE2 + 2.BE2 Class 9 Pythagoras Theorem

 

More Type of Question CLICK HERE 

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.

If ABC is a right angled triangle in which angle A=90°, AD is perpendicular to BC and AB:AC=3:4 and AD=8, then BD=?

Class 9 ICSE SELINA MATH EX 13A question 6

In a right angled triangle, the length of the median on its hypotenuse is half the length of the hypotenuse proof

 

Class 9 ICSE SELINA MATH EX 20B question 14 | Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Given your answer correct to 2 places of decimals

By applying Pythagoras Theorem Diagonal = Root2  x side 

If ABC is a right angled triangle in which angle A=90°, AD is perpendicular to BC and AB:AC=3:4 and AD=8, then BD=?

Class 9 ICSE SELINA Math EX 13B question 10 Diagonals of rhombus ABCD intersect each other at point O. Prove that: OA^2 + OC^2 = 2AD^2 - BD^2/2

Class 9 ICSE SELINA MATH EX 13B question 4

Class 9 ICSE SELINA MATH Pythagoras Theorem EX 13A question 11 In the given figure, ∠B = 90°, XY || BC, AB = 12cm, AY = 8cm and AX: XB = 1: 2 = AY:YC. Find the lengths of AC and BC.

Class 9 ICSE SELINA MATH EX 13A question 6