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

From the given figure, in ∆ABQ, if AQ = 8 cm, then AB =?

Advertisements
Advertisements

प्रश्न

From the given figure, in ∆ABQ, if AQ = 8 cm, then AB =?

बेरीज
Advertisements

उत्तर

In ∆ABQ,

∠B = 90°, ∠Q = 30°   ...[Given]

∴ ∠A = 60°   ...[Remaining angle of a triangle]

∴ ∆ABQ is a 30° – 60° – 90° triangle.

∴ `AB = 1/2 AQ`   ...[Side opposite to 30°]

∴ `AB = 1/2 xx 8`

∴ AB = 4 cm

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Pythagoras Theorem - Q.1 (B)

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Side of a triangle is given, determine it is a right triangle.

`(2a – 1) cm, 2\sqrt { 2a } cm, and (2a + 1) cm`


In Figure ABD is a triangle right angled at A and AC ⊥ BD. Show that AC2 = BC × DC


A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.


Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.


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


Which of the following can be the sides of a right triangle?

1.5 cm, 2 cm, 2.5 cm

In the case of right-angled triangles, identify the right angles.


In the given figure, ∆ABC is an equilateral triangle of side 3 units. Find the coordinates of the other two vertices ?


Identify, with reason, if the following is a Pythagorean triplet.
(10, 24, 27)


In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.


In the given figure, AB//CD, AB = 7 cm, BD = 25 cm and CD = 17 cm;
find the length of side BC.


In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.



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


In the following Figure ∠ACB= 90° and CD ⊥ AB, prove that  CD2  = BD × AD


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

4, 5, 6


Two poles of height 9m and 14m stand on a plane ground. If the distance between their 12m, find the distance between their tops.


In ΔABC, AD is perpendicular to BC. Prove that: AB2 + CD2 = AC2 + BD2


The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ2 = 2PR2 + QR2 


In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

(i) `"AC"^2 = "AD"^2 + "BC"."DM" + (("BC")/2)^2`

(ii) `"AB"^2 = "AD"^2 - "BC"."DM" + (("BC")/2)^2`

(iii) `"AC"^2 + "AB"^2 = 2"AD"^2 + 1/2"BC"^2`


In a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is ______.


Two squares are congruent, if they have same ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×