Advertisements
Advertisements
प्रश्न
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
12, 13, 15
Advertisements
उत्तर
Take a = 12, b = 13 and c = 15
Now a2 + b2 = 122 + 132
= 144 + 169
= 313
152 = 225 ≠ 313
No, By the converse of Pythagoras theorem, the triangle with given measures is not a right angled triangle.
APPEARS IN
संबंधित प्रश्न
In ∆PQR, PQ = √8 , QR = √5 , PR = √3. Is ∆PQR a right-angled triangle? If yes, which angle is of 90°?
The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle
5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
9, 40, 41
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?
If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not
In ∆LMN, l = 5, m = 13, n = 12 then complete the activity to show that whether the given triangle is right angled triangle or not.
*(l, m, n are opposite sides of ∠L, ∠M, ∠N respectively)
Activity: In ∆LMN, l = 5, m = 13, n = `square`
∴ l2 = `square`, m2 = 169, n2 = 144.
∴ l2 + n2 = 25 + 144 = `square`
∴ `square` + l2 = m2
∴ By Converse of Pythagoras theorem, ∆LMN is right angled triangle.
In the given figure, triangle PQR is right-angled at Q. S is the mid-point of side QR. Prove that QR2 = 4(PS2 – PQ2).
In a right angled triangle, right-angled at B, lengths of sides AB and AC are 5 cm and 13 cm, respectively. What will be the length of side BC?
