English
Maharashtra State BoardSSC (English Medium) 10th Standard

In ΔMNP, ∠MNP = 90˚, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ. - Geometry Mathematics 2

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

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

= `sqrt(9 xx 4)`

= 36

∴ NQ = `sqrt(36)`

= 6 unit

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 3

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM . MR


A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?


ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.


Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.


Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.


In a quadrilateral ABCD, ∠B = 90° and ∠D = 90°.
Prove that: 2AC2 - AB2 = BC2 + CD2 + DA2


Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.


In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm


A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?


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

8, 15, 17


Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.


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


In the given figure, PQ = `"RS"/(3)` = 8cm, 3ST = 4QT = 48cm.
SHow that ∠RTP = 90°.


In a right-angled triangle ABC,ABC = 90°, AC = 10 cm, BC = 6 cm and BC produced to D such CD = 9 cm. Find the length of AD.


If ΔABC ~ ΔPQR, `("ar" triangle "ABC")/("ar" triangle "PQR") = 9/4` and AB = 18 cm, then the length of PQ is ______.


Sides AB and BE of a right triangle, right-angled at B are of lengths 16 cm and 8 cm respectively. The length of the side of largest square FDGB that can be inscribed in the triangle ABE is ______.


Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.


In a triangle, sum of squares of two sides is equal to the square of the third side.


If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×