हिंदी

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.

योग
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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2018-2019 (March) Set 1

APPEARS IN

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.


Prove that the diagonals of a rectangle ABCD, with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6), are equal and bisect each other.


In a right triangle ABC right-angled at C, P and Q are the points on the sides CA and CB respectively, which divide these sides in the ratio 2 : 1. Prove that

`(i) 9 AQ^2 = 9 AC^2 + 4 BC^2`

`(ii) 9 BP^2 = 9 BC^2 + 4 AC^2`

`(iii) 9 (AQ^2 + BP^2 ) = 13 AB^2`


The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.


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 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 the figure, given below, AD ⊥ BC.
Prove that: c2 = a2 + b2 - 2ax.


In triangle ABC, ∠B = 90o and D is the mid-point of BC.

Prove that: AC2 = AD2 + 3CD2.


Find the value of (sin2 33 + sin2 57°)


In the figure below, find the value of 'x'.


The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder?


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?

8, 15, 17


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


If ‘l‘ and ‘m’ are the legs and ‘n’ is the hypotenuse of a right angled triangle then, l2 = ________


In a right angled triangle, the hypotenuse is the greatest side


From given figure, In ∆ABC, If AC = 12 cm. then AB = ?


Activity: From given figure, In ∆ABC, ∠ABC = 90°, ∠ACB = 30°

∠BAC = `square`

∴ ∆ABC is 30° – 60° – 90° triangle.

∴ In ∆ABC by property of 30° – 60° – 90° triangle.

∴ AB = `1/2` AC and `square` = `sqrt(3)/2` AC

∴ `square` = `1/2 xx 12` and BC = `sqrt(3)/2 xx 12`

∴ `square` = 6 and BC = `6sqrt(3)`


Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle.


The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Find the length of the ladder.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×