Home
Class 9
MATHS
In DeltaABC, AB = 5cm , BC = 8 cm and CA...

In `Delta`ABC, AB = 5cm , BC = 8 cm and CA = 7cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.

Text Solution

Verified by Experts

In `Delta`ABC, we have AB= 5cm, BC = 8 cm and CA = 7 cm. Since, D and E are the mid-points of AB and BC, respectively. ltBrgt By mid-point theorem, `DE||AC`
and `" "DE=(1)/(2)AC =(7)/(2)=3.5`

DE = 3.5 cm
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWER TYPE QUESTIONS|10 Videos

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|18 Videos

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|18 Videos

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.4 Long Answer type Questions|9 Videos

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

Construct Delta ABC with AB = 4.5 cm, BC = 7 cm and CA = 6 cm.

In Delta ABC, /_B = 90^@, AB = 12 cm and AC = 15 cm . D and E are points on AB and AC respectively such that /_AED = 90^@ and DE = 3 cm. Calculate the area of Delta ABC and then the area of Delta ADE.

Construct a triangle ABC in which AC=5cm, BC= 7 cm and AB= 6cm. Mark D, the mid-point of AB

Construct Delta ABC with AB = 7 cm, BC = 6.5 cm, and CA = 5.5 cm. Find the midpoint D of AB. Draw DE parallel to BC, meeting AC at E. Measure DE. Find AE : EC.

Construct a Delta ABC such BC = 6 cm, CA = 4 cm and AB = 3.5 cm

In DeltaABC, /_ABC = /_DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm . Find BC and CD.

In a DeltaABC,D,E and F are respectively the mid-points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, find the permeter of DeltaDEF.

Construct Delta ABC with AB = 8 cm, BC = 6 cm, and CA = 7 cm. Find the midpoint D on AB. Through the point D, draw DE parallel to BC, meeting AC at E. Measure DE. Find DE : BC.

Construct an Delta ABC with sides AB = 5 cm, BC = 5.5 cm, and CA = 6 cm.

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC