हिंदी
सी.आई.एस.सी.ई.आईसीएसई ICSE Class 7

The Sides of a Certain Triangle is Given Below. Find, Which of Them is Right-triangle 6 M, 9 M, and 13 M

Advertisements
Advertisements

प्रश्न

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

6 m, 9 m, and 13 m

योग
Advertisements

उत्तर

6 m, 9 m, and 13 m
The given triangle will be a right-angled triangle if the square of its largest side is equal to the sum of the squares on the other two sides.
i.e., If (13)2 = (9)2 + (6)2
169 = 81 + 36 = 169 ≠ 117
So, the given triangle is not right-angled.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 18: Pythagoras Theorem - Exercise 16

APPEARS IN

आर.के. बंसल Concise Mathematics [English] Class 7 ICSE
अध्याय 18 Pythagoras Theorem
Exercise 16 | Q 4.2

संबंधित प्रश्न

Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse. 50 cm, 80 cm, 100 cm

 


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


In the following figure, AD is perpendicular to BC and D divides BC in the ratio 1: 3.

Prove that : 2AC2 = 2AB2 + BC2


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


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


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

40, 20, 30


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 a square PQRS of side 5 cm, A, B, C and D are points on sides PQ, QR, RS and SP respectively such as PA = PD = RB = RC = 2 cm. Prove that ABCD is a rectangle. Also, find the area and perimeter of the rectangle.


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)`


In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×