Advertisements
Advertisements
प्रश्न
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
8, 15, 17
Advertisements
उत्तर
Take a = 8, b = 15 and c = 17
Now a2 + b2 = 82 + 152
= 64 + 225
= 289
172 = 289 = c2
∴ a2 + b2 = c2
Yes, By the converse of Pythagoras theorem, the triangle with given measures is a right angled triangle.
APPEARS IN
संबंधित प्रश्न
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.
In the adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE2 = 3AC2 + 5AD2
If the sides of a triangle are in the ratio 5 : 12 : 13 then, it is ________
The incentre is equidistant from all the vertices of a triangle
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
If the length of diagonal of square is `sqrt(2)`, then what is the length of each side?
If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not
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?
