Advertisements
Advertisements
प्रश्न
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?
उत्तर
Given: ∠ABC = 90°, AB = 5 cm, AC = 13 cm.
According to the Pythagoras theorem,
AB2 + BC2 = AC2
⇒ 52 + BC2 = 132
⇒ 25 + BC2 = 169
⇒ BC2 = 169 – 25 = 144
⇒ BC = `sqrt(144)` = 12
Hence, the length of side BC is 12 cm.
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.
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 ________
8, 15, 17 is a Pythagorean triplet
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
12, 13, 15
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
30, 40, 50
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
24, 45, 51
The area of a rectangle of length 21 cm and diagonal 29 cm is __________
Choose the correct alternative:
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?
Choose the correct alternative:
If the length of diagonal of square is √2, then what is the length of each side?
If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not
If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not
A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?
In ΔABC, AB = 9 cm, BC = 40 cm, AC = 41 cm. State whether ΔABC is a right-angled triangle or not. Write reason.
