हिंदी

Some question and their alternative answer are given. Select the correct alternative. If a, b, and c are sides of a triangle and a2 + b2 = c2, name the type of triangle.

Advertisements
Advertisements

प्रश्न

Some question and their alternative answer are given. Select the correct alternative.

If a, b, and c are sides of a triangle and a+ b= c2, name the type of triangle.

विकल्प

  • Obtuse angled triangle

  • Acute angled triangle 

  • Right-angled triangle

  • Equilateral triangle

MCQ
Advertisements

उत्तर

Right-angled triangle 

Explanation:

In a triangle, if the square of one side is equal to the sum of the squares of the remaining two sides, then the triangle is a right-angled triangle. Hence, the correct option is the Right angled triangle.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Pythagoras Theorem - Problem Set 2 [पृष्ठ ४३]

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD


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


 In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AD2 = BD × CD


D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE+ BD2 = AB2 + DE2


A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.


Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)


In an isosceles triangle, length of the congruent sides is 13 cm and its base is 10 cm. Find the distance between the vertex opposite the base and the centroid.


A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.


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

Prove that : 2AC2 = 2AB2 + BC2


In Fig. 3, ∠ACB = 90° and CD ⊥ AB, prove that CD2 = BD x AD.


In ∆ ABC, AD ⊥ BC.
Prove that  AC2 = AB2 +BC2 − 2BC x BD


In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.


In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.


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

40, 20, 30


The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?


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.


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


In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is ______.


A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.


Two squares having same perimeter are congruent.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×