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

In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.

Advertisements
Advertisements

प्रश्न

In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.

बेरीज
Advertisements

उत्तर

In ΔABC, ∠B = 90°, AB = 6, BC = 8

By Pythagoras theorem,

AC2 = AB2 + BC2 

= 62 + 82 

= 36 + 64

AC= 100

∴ AC = 10 units

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) Set 1

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If ABC is an equilateral triangle of side a, prove that its altitude = ` \frac { \sqrt { 3 } }{ 2 } a`


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.


The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

(A)\[7 + \sqrt{5}\]
(B) 5
(C) 10
(D) 12


Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)


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


For finding AB and BC with the help of information given in the figure, complete following activity.

AB = BC ..........

∴ ∠BAC =

∴ AB = BC = × AC

                 = × `sqrt8`

                 = × `2sqrt2`

                 =


In ΔABC,  Find the sides of the triangle, if:

  1. AB =  ( x - 3 ) cm, BC = ( x + 4 ) cm and AC = ( x + 6 ) cm
  2. AB = x cm, BC = ( 4x + 4 ) cm and AC = ( 4x + 5) cm

In a rectangle ABCD,
prove that: AC2 + BD2 = AB2 + BC2 + CD2 + DA2.


Choose the correct alternative: 

In right-angled triangle PQR, if hypotenuse PR = 12 and PQ = 6, then what is the measure of ∠P? 


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, 12, 15


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

1.5, 1.6, 1.7


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.


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


In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that: 9BP2 = 9BC2 + 4AC2


In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that : 9(AQ2 + BP2) = 13AB2 


Find the unknown side in the following triangles


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


In an isosceles triangle PQR, the length of equal sides PQ and PR is 13 cm and base QR is 10 cm. Find the length of perpendicular bisector drawn from vertex P to side QR.


Two squares are congruent, if they have same ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×