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
In ∆PQR, PQ = √8 , QR = √5 , PR = √3. Is ∆PQR a right-angled triangle? If yes, which angle is of 90°?
Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not.
In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm. Calculate the length and breadth of the rectangle?

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
In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC 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
12, 13, 15
If length of both diagonals of rhombus are 60 and 80, then what is the length of side?
A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?
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).

