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

If length of sides of a triangle are a, b, c and a^2 + b^2 = c^2, then which type of triangle it is? (A) Obtuse angled triangle (B) Acute angled triangle (C) Equilateral triangle

Advertisements
Advertisements

प्रश्न

If length of sides of a triangle are a, b, c and a2 + b2 = c2, then which type of triangle it is?

पर्याय

  • Obtuse angled triangle

  • Acute angled triangle

  • Equilateral triangle

  • Right angled triangle

MCQ
Advertisements

उत्तर

Right angled triangle

Explanation:

If the sides satisfy (a2 + b2 = c2), then by the Pythagorean theorem and its converse the triangle has a 90° angle, with (c) as the hypotenuse.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Pythagoras Theorem - Exercise

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

ABC is a right-angled triangle, right-angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angle are 5 cm and 12 cm. Find the radius of the circle


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

 


Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals


In the given figure, ABC is a triangle in which ∠ABC> 90° and AD ⊥ CB produced. Prove that AC2 = AB2 + BC2 + 2BC.BD.


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.


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.


Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.


In ∆ABC, AB = 10, AC = 7, BC = 9, then find the length of the median drawn from point C to side AB.


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)


The given figure shows a quadrilateral ABCD in which AD = 13 cm, DC = 12 cm, BC = 3 cm and ∠ABD = ∠BCD = 90o. Calculate the length of AB.


If the sides of the triangle are in the ratio 1: `sqrt2`: 1, show that is a right-angled triangle.


In triangle ABC, angle A = 90o, CA = AB and D is the point on AB produced.
Prove that DC2 - BD2 = 2AB.AD.


A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.


AD is perpendicular to the side BC of an equilateral ΔABC. Prove that 4AD2 = 3AB2.


In a right-angled triangle PQR, right-angled at Q, S and T are points on PQ and QR respectively such as PT = SR = 13 cm, QT = 5 cm and PS = TR. Find the length of PQ and PS.


Find the unknown side in the following triangles


Find the distance between the helicopter and the ship


The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________


Find the length of the support cable required to support the tower with the floor


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×