Advertisements
Advertisements
प्रश्न
In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
पर्याय
AB2 = BC2 + AC2
AC2 = AB2 + BC2
AB = BC + AC
AC = AB + BC
Advertisements
उत्तर
AC2 = AB2 + BC2
Explanation:
According to Pythagoras theorem,
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
⇒ AC2 = AB2 + BC2
APPEARS IN
संबंधित प्रश्न
P and Q are the mid-points of the sides CA and CB respectively of a ∆ABC, right angled at C. Prove that:
`(i) 4AQ^2 = 4AC^2 + BC^2`
`(ii) 4BP^2 = 4BC^2 + AC^2`
`(iii) (4AQ^2 + BP^2 ) = 5AB^2`
Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.
The angle B is:
Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
In a quadrilateral ABCD, ∠B = 90° and ∠D = 90°.
Prove that: 2AC2 - AB2 = BC2 + CD2 + DA2
In triangle PQR, angle Q = 90°, find: PQ, if PR = 34 cm and QR = 30 cm
The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?
A point OI in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Prove that OB2 + OD2 = OC2 + OA2
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.
Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
