Advertisements
Advertisements
प्रश्न
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
9, 40, 41
Advertisements
उत्तर
Take a = 9, b = 40 and c = 41
Now a2 + b2 = 92 + 402
= 81 + 1600
= 1681
c2 = 412 = 1681
∴ a2 + b2 = c2
Yes, By the converse of Pythagoras theorem, the triangle with given measures is a right angled triangle.
APPEARS IN
संबंधित प्रश्न
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 adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE2 = 3AC2 + 5AD2

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
Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem
8, 15, 17
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 = ?
A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?
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 ΔABC, AB = 9 cm, BC = 40 cm, AC = 41 cm. State whether ΔABC is a right-angled triangle or not. Write reason.
