Home
Class 10
MATHS
In Delta ABC, AB = BC, BD is the altitud...

In `Delta ABC`, `AB = BC`, BD is the altitude for the base AC of triangle `DC = x` units `BD = 2x - 1` units, `BC = (2x + 1)` units. Find the measure of the sides of a triangle.

Text Solution

Verified by Experts

The correct Answer is:
17 units
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-4 PYTHAGOREAN TRIPLETS (LONG ANSWER TYPE QUESTIONS-(II))|3 Videos
  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-5 PYTHAGORAS THEOREM (SHORT ANSWER TYPE QUESTIONS)|1 Videos
  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-4 PYTHAGOREAN TRIPLETS (SHORT ANSWER TYPE QUESTIONS)|9 Videos
  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|5 Videos

Similar Questions

Explore conceptually related problems

The area (A) of triangle, whose base is 4 units longer than its altitude (x) is :

In Delta ABC , XY || BC and XY divides the triangle into two parts of equal area. Find BX : AB . [Hint : ABC = 2 Delta AXY ]

In Delta ABC , AB = 6 cm and DE || BC such that AE = 1/4 AC , then what is AD ?

In Delta ABC , a + b = 18 units , b + c = 25 units and c + a = 17 units. What type of triangle is ABC? Give reason.

In an isosceles triangle ABC, if AB = AC = 25 cm and altitude from A on BC is 24 cm, find BC.

In Delta ABC , /_ B = /_C , D and E are the points on AB and AC such that BD = CE , prove that DE || BC .

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

In Delta ABC , AD is the bisector of /_ BAC . If AB = 8 cm , BD = 6 cm and DC = 3 cm , then find AC.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.