Advertisements
Advertisements
प्रश्न
Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)
Advertisements
उत्तर
In the triplet (3, 5, 4),
32 = 9, 52 = 25, 42 = 16 and 9 + 16 = 25
The square of the largest number is equal to the sum of the squares of the other two numbers.
∴ (3, 5, 4) is a pythagorean triplet.
APPEARS IN
संबंधित प्रश्न
Side of a triangle is given, determine it is a right triangle.
`(2a – 1) cm, 2\sqrt { 2a } cm, and (2a + 1) cm`
In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that
(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2
(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2
In an equilateral triangle ABC, D is a point on side BC such that BD = `1/3BC` . Prove that 9 AD2 = 7 AB2
In the given figure, ABC is a triangle in which ∠ABC> 90° and AD ⊥ CB produced. Prove that AC2 = AB2 + BC2 + 2BC.BD.
Find the side and perimeter of a square whose diagonal is 10 cm.
In the given figure, ∠DFE = 90°, FG ⊥ ED, If GD = 8, FG = 12, find (1) EG (2) FD and (3) EF
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
In an isosceles triangle ABC; AB = AC and D is the point on BC produced.
Prove that: AD2 = AC2 + BD.CD.
O is any point inside a rectangle ABCD.
Prove that: OB2 + OD2 = OC2 + OA2.
In triangle ABC, ∠B = 90o and D is the mid-point of BC.
Prove that: AC2 = AD2 + 3CD2.
In the given figure, BL and CM are medians of a ∆ABC right-angled at A. Prove that 4 (BL2 + CM2) = 5 BC2.
The sides of a certain triangle is given below. Find, which of them is right-triangle
16 cm, 20 cm, and 12 cm
In the given figure, angle ADB = 90°, AC = AB = 26 cm and BD = DC. If the length of AD = 24 cm; find the length of BC.
Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.
If ‘l‘ and ‘m’ are the legs and ‘n’ is the hypotenuse of a right angled triangle then, l2 = ________
Find the unknown side in the following triangles
The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________
If two legs of a right triangle are equal to two legs of another right triangle, then the right triangles are congruent.
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
