CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 14

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Question 14:

In figure, ABC and DBC are two triangles on the same base BC. If AD intersect EC at O, prove that

Marks-3-Che-6-Que-14-Two Triangles on the same base BC

Marks-3-Che-6-Que-14-Two Triangles on the Same Base BC

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Answer:

Given: ABC and DBC are two triangles on the same base BC but on the opposite sides of BC, AD intersects BC at O.

Construction: Draw

To prove:

Proof: In

Question 15:

In figure, ABC is a right triangle right-angled at B. Medians AD and CE are of respective lengths 5 cm and , find length of AC.

Marks-3-Che-6-Que-15-Find length of AC

Marks-3-Che-6-Que-15-Find Length of AC

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Answer:

Given: with , AD and CE are medians

To find: Length of AC

Proof: In right – angled at B,

In right- angled at B

Given that and