In the adjoining figure, XY is parallel to BC. If XY divides the triangle into two equal parts, then equals: 1. 2. 3. 4.

Question

KnowledgeBoat · Accepted Answer

Given, In ΔABC and ΔAXY ∠BAC = ∠XAY [Common angle] ∠AXY = ∠ABC [Corresponding angles are equal] ΔABC ΔAXY (By A.A. axiom) The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. .....(1) X and Y divides triangle ABC into two equal parts. Therefore, Area of ΔAXY = Area of ΔABC .....(2) Equating Eqn(1) and Eqn(2) : Hence, option 1 is the correct option.

Mathematics

In the adjoining figure, XY is parallel to BC. If XY divides the triangle into two equal parts, then equals: 1. 2. 3. 4.

Similarity

Related Questions

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?
AB = BD × AD
AB² = BC × BD
AB² = BD × DC
AB² = BC × DC

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?
(I) ΔABD ∼ ΔCAD
(II) ΔADB ≅ ΔCDA
(III) ΔADB ∼ ΔCAB
I and II
II and III
I and III
I, II and III

The areas of two similar triangles are 49 cm² and 64 cm² respectively. The ratio of their corresponding sides is:
7 : 8
49 : 64
8 : 7
64 : 49

Mathematics

In the adjoining figure, XY is parallel to BC. If XY divides the triangle into two equal parts, then equals: 1. 2. 3. 4.

Similarity

Related Questions

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?AB = BD × ADAB2 = BC × BDAB2 = BD × DCAB2 = BC × DC

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?(I) ΔABD ∼ ΔCAD(II) ΔADB ≅ ΔCDA(III) ΔADB ∼ ΔCABI and IIII and IIII and IIII, II and III

The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is:7 : 849 : 648 : 764 : 49

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?
AB = BD × AD
AB² = BC × BD
AB² = BD × DC
AB² = BC × DC

Which of the following is true in the given figure, where AD is the altitude to the hypotenuse of a right-angled ΔABC?
(I) ΔABD ∼ ΔCAD
(II) ΔADB ≅ ΔCDA
(III) ΔADB ∼ ΔCAB
I and II
II and III
I and III
I, II and III

The areas of two similar triangles are 49 cm² and 64 cm² respectively. The ratio of their corresponding sides is:
7 : 8
49 : 64
8 : 7
64 : 49