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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Make the corr...

Question

Make the correct choice.

Assertion (A): If in a ∆ABC, a line $D E | | B C$ , intersects AB in D and AC in E, then $\frac{A D}{D B} = \frac{A E}{E C}$ .

Reason (R): If a line drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

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Solution

According to BPT if a line DE parallel to BC cuts AB and AC at D and E then line DE devide AB and AC in the same ratio.

Hence both assertion and reason are true, and reason is the correct explanation of assertion.

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Similar questions

Q. Make the correct choice.

Assertion (A): If in a ∆ABC, a line DE∥BC, intersects AB in D and AC in E, then AB/AD = AC/AE.

Reason (R): If a line drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

Q. Assertion :If in a

△ A B C

, a line

D E ∥ B C

, intersects AB in D and AC in E, then

\frac{A B}{A D} = \frac{A C}{A E}

. Reason: If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

Q. Mark the correct choice as.
Assertion (A): In △ABC, DE || BC such that AD = (7x − 4) cm, AE = (5x − 2) cm, DB = (3x + 4) cm, and EC = 3x cm then x equal to 5.

Reason (R): If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

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Make the correct choice. Assertion (A): If in a ∆ABC, a line DE || BC, intersects AB in D and AC in E, then ADDB=AEEC. Reason (R): If a line drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

According to BPT if a line DE parallel to BC cuts AB and AC at D and E then line DE devide AB and AC in the same ratio. Hence both assertion and reason are true, and reason is the correct explanation of assertion.

According to BPT if a line DE parallel to BC cuts AB and AC at D and E then line DE devide AB and AC in the same ratio.

Hence both assertion and reason are true, and reason is the correct explanation of assertion.