Advertisements
Advertisements
प्रश्न
Points A and B are on the opposite edges of a pond as shown in the following figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
Advertisements
उत्तर
Since, ΔACD is a right angled triangle.
In right angled ΔADC, by Pythagoras theorem,
(AC)2 = (AD)2 + (CD)2
⇒ (AC)2 + (30)2 + (40)2 ...[∵ AD = 30 cm and CD = 40 cm, given]
⇒ (AC)2 = 900 + 1600
⇒ (AC)2 = 2500
⇒ AC = `sqrt(2500)`
∴ AC = 50 m
Now, AB = AC – BC = 50 – 12 = 38 m
Hence, the distance AB is 38 m.
APPEARS IN
संबंधित प्रश्न
Identify, with reason, if the following is a Pythagorean triplet.
(5, 12, 13)
In triangle ABC, AB = AC = x, BC = 10 cm and the area of the triangle is 60 cm2.
Find x.
In triangle ABC, angle A = 90o, CA = AB and D is the point on AB produced.
Prove that DC2 - BD2 = 2AB.AD.
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder?
The sides of the triangle are given below. Find out which one is the right-angled triangle?
11, 12, 15
A ladder 15m long reaches a window which is 9m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to other side of the street to reach a window 12m high. Find the width of the street.
The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ2 = 2PR2 + QR2
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
Two squares are congruent, if they have same ______.
