मराठी

Fill the Blank in the Following So that the Following Statement is True. in Right Triangles Abc and Def, If Hypotenuse Ab = Ef and Side Ac = De, Then δAbc ≅ δ …… - Mathematics

Advertisements
Advertisements

प्रश्न

Fill the blank in the following so that the following statement is true. 

In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC ≅ Δ ……

रिकाम्या जागा भरा
Advertisements

उत्तर

In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then.
ΔABC ≅ ΔEFD
Reason: From RHS congruence criterion we have ΔABC ≅  ΔEFD 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Congruent Triangles - Exercise 12.5 [पृष्ठ ६२]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.5 | Q 6.7 | पृष्ठ ६२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:

  1. OB = OC
  2. AO bisects ∠A

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see the given figure). Show that these altitudes are equal.


ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that

  1. ΔABE ≅ ΔACF
  2. AB = AC, i.e., ABC is an isosceles triangle.


AB is a line seg P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB. 

 


In Fig. 10.23, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT (ii) ∠TQR = 15° 

 


In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC = ∠ABC. 


ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. Prove that the triangle is isosceles. 


Fill in the blank to make the following statement true.  

The sum of any two sides of a triangle is .... than the third side. 


Fill in the blank to make the following statement true. 

Difference of any two sides of a triangle is........ than the third side. 

 


Write the sum of the angles of an obtuse triangle.


In ΔABC, if ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B =


In the given figure, if BP || CQ and AC = BC, then the measure of x is


In the given figure, AB and CD are parallel lines and transversal EF intersects them at Pand Q respectively. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then


The angles of a right angled triangle are


D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.


Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.


In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.


Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×