Advertisements
Advertisements
प्रश्न
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
Advertisements
उत्तर
Let A be the starting point and B be the ending point of Jiya.
Since ∆ABC is right-angled.
∴ (AB)2 = (AC)2 + (BC)2
⇒ (AB)2 = 62 + 82
= 36 + 64
= 100
⇒ AB = 10
Thus, Jiya is 10 km away from her starting place.
APPEARS IN
संबंधित प्रश्न
In triangle ABC, ∠C=90°. Let BC= a, CA= b, AB= c and let 'p' be the length of the perpendicular from 'C' on AB, prove that:
1. cp = ab
2. `1/p^2=1/a^2+1/b^2`
ABC is a right-angled triangle, right-angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angle are 5 cm and 12 cm. Find the radius of the circle
Prove that the points A(0, −1), B(−2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD?
In the given figure, point T is in the interior of rectangle PQRS, Prove that, TS2 + TQ2 = TP2 + TR2 (As shown in the figure, draw seg AB || side SR and A-T-B)
Prove that `(sin θ + cosec θ)^2 + (cos θ + sec θ)^2 = 7 + tan^2 θ + cot^2 θ`.
Find the length of the perpendicular of a triangle whose base is 5cm and the hypotenuse is 13cm. Also, find its area.
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 - AB2 = 2BC x ED
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
If S is a point on side PQ of a ΔPQR such that PS = QS = RS, then ______.
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
