मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.

Advertisements
Advertisements

प्रश्न

In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.

बेरीज
Advertisements

उत्तर

NQ2 = `sqrt(MQ xx QP)`  ......(Theorem of Geometric mean)

= `sqrt(9 xx 4)`

= 36

∴ NQ = `sqrt(36)`

= 6 unit

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) Balbharati Model Question Paper Set 3

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.


In the given figure, point T is in the interior of rectangle PQRS, Prove that, TS+ TQ= TP+ TR(As shown in the figure, draw seg AB || side SR and A-T-B)


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


The sides of a certain triangle is given below. Find, which of them is right-triangle

6 m, 9 m, and 13 m


In the given figure, angle ACB = 90° = angle ACD. If AB = 10 m, BC = 6 cm and AD = 17 cm, find :
(i) AC
(ii) CD


Find the Pythagorean triplet from among the following set of numbers.

4, 5, 6


Find the Pythagorean triplet from among the following set of numbers.

4, 7, 8


The sides of the triangle are given below. Find out which one is the right-angled triangle?

11, 60, 61


The sides of the triangle are given below. Find out which one is the right-angled triangle?

40, 20, 30


A right triangle has hypotenuse p cm and one side q cm. If p - q = 1, find the length of third side of the triangle.


In an equilateral triangle ABC, the side BC is trisected at D. Prove that 9 AD2 = 7 AB2.


In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AB2 = AD2 - BC x CE + `(1)/(4)"BC"^2`


In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 - AB2 = 2BC x ED


A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?


There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?


The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals ______.


In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?


Two squares are congruent, if they have same ______.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×