In a △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

The below figure shows △ABC and the points D and E on the sides AB and AC respectively: Considering △ABC and △ADE, ∠A = ∠A (Common angles) ∠ADE = ∠ABC (Corresponding angles are equal) Hence by AA axiom △ABC ~ △ADE. Since triangles are similar so the ratio of the corresponding sides are equal, Consider Now consider From figure we see that, ⇒ BD = AB - AD = 6 - 2.4 = 3.6 cm. ⇒ CE = AC - AE = 8 - 3.2 = 4.8 cm. Hence, the length of BD = 3.6 cm and CE = 4.8 cm.

In the given figure, P is a point on AB such that PB : AP = 3 : 4 and PQ || AC.
(i) Calculate PQ : AC.
(ii) If AR ⊥ CP, QS ⊥ CB and QS = 6 cm, calculate the length of AR.

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In a △ABC, D and E are points on the sides AB and AC respectively such that AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and AC = 8.8 cm. Is DE || BC? Justify your answer.

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In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :
(i) △FGE ~ △CGB
(ii) BG = 2GE

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If the areas of two similar triangles are 360 cm² and 250 cm² and if one side of the first triangle is 8 cm, find the length of the corresponding side of the second triangle.

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Mathematics

In a △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

Similarity

Related Questions

In the given figure, P is a point on AB such that PB : AP = 3 : 4 and PQ || AC.
(i) Calculate PQ : AC.
(ii) If AR ⊥ CP, QS ⊥ CB and QS = 6 cm, calculate the length of AR.

In a △ABC, D and E are points on the sides AB and AC respectively such that AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and AC = 8.8 cm. Is DE || BC? Justify your answer.

In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :
(i) △FGE ~ △CGB
(ii) BG = 2GE

If the areas of two similar triangles are 360 cm² and 250 cm² and if one side of the first triangle is 8 cm, find the length of the corresponding side of the second triangle.

Mathematics

In a △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

Similarity

Related Questions

In the given figure, P is a point on AB such that PB : AP = 3 : 4 and PQ || AC.(i) Calculate PQ : AC.(ii) If AR ⊥ CP, QS ⊥ CB and QS = 6 cm, calculate the length of AR.

In a △ABC, D and E are points on the sides AB and AC respectively such that AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and AC = 8.8 cm. Is DE || BC? Justify your answer.

In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :(i) △FGE ~ △CGB(ii) BG = 2GE

If the areas of two similar triangles are 360 cm2 and 250 cm2 and if one side of the first triangle is 8 cm, find the length of the corresponding side of the second triangle.

In the given figure, P is a point on AB such that PB : AP = 3 : 4 and PQ || AC.
(i) Calculate PQ : AC.
(ii) If AR ⊥ CP, QS ⊥ CB and QS = 6 cm, calculate the length of AR.

In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :
(i) △FGE ~ △CGB
(ii) BG = 2GE

If the areas of two similar triangles are 360 cm² and 250 cm² and if one side of the first triangle is 8 cm, find the length of the corresponding side of the second triangle.