Advertisements
Advertisements
प्रश्न
Find the Pythagorean triplet from among the following set of numbers.
4, 5, 6
Advertisements
उत्तर
It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to the sum of the squares of the other two numbers, then the three numbers form a Pythagorean triplet.
The given set of numbers is (4, 5, 6).
The biggest number among the given set is 6.
62 = 36; 52 = 25; 42 = 16
Now, 25 + 16 = 41 ≠ 36
∴ 52 + 42 ≠ 62
Thus, (4, 5, 6) does not form a Pythagorean triplet.
संबंधित प्रश्न
P and Q are the mid-points of the sides CA and CB respectively of a ∆ABC, right angled at C. Prove that:
`(i) 4AQ^2 = 4AC^2 + BC^2`
`(ii) 4BP^2 = 4BC^2 + AC^2`
`(iii) (4AQ^2 + BP^2 ) = 5AB^2`
ABC is an equilateral triangle of side 2a. Find each of its altitudes.
In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.
In the figure, given below, AD ⊥ BC.
Prove that: c2 = a2 + b2 - 2ax.
A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?
Use the information given in the figure to find the length AD.
In the figure below, find the value of 'x'.
The sides of the triangle are given below. Find out which one is the right-angled triangle?
11, 60, 61
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
