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
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
8, 15, 17 is a Pythagorean triplet
The area of a rectangle of length 21 cm and diagonal 29 cm is __________
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?
A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?
In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm then m∠A = ?
In ΔABC, AB = 9 cm, BC = 40 cm, AC = 41 cm. State whether ΔABC is a right-angled triangle or not. Write reason.
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).
