# math

posted by .

construct an equilateral triangle ABC in which altitude drawn from opposite vertex is 3.5 cm.Also construct a triangle APR similar to a triangle such that each side of the triangle APR is 1.5 times that of the corresponding side of triangle ABC.

• math -

tanA = h/(b/2).
tanA = 3.5 / (b/2).
tan60 = 3.5 / (b/2).
(b/2)tan60 = 3.5.
b/2 = 3.5 / tan60. = 2.02.
b = 4.04 cm.

a = b = c = 4.04 cm.

A = B = C = 60 Deg.

## Similar Questions

1. ### HELP!!!!RIGHT NOW!!!!

Which set of side lengths shows similar triangles?
2. ### geometry

CONSTRUCT A TRIANGLE WHOSE VERTEX ANGLE IN 60 AND THE OPPOSITE SIDE IS 6 CM. THE ALTITUDE FROM THE VERTEX IS 2.5 CM LONG
3. ### maths-constructions

Construct a rhombus ABCD in which AB= 6 cm and angle ABC= 60degree. Divide it into two triangle ABC and ADC. Construct a triangle AB 'C ' similar to triangle ABC with scale factor 2/3. Draw a line segment C 'D ' parallel to CD, where …
4. ### Math

Which set of side lengths shows similar triangles?
5. ### Geometry

Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …
6. ### Math

1. Which of the following best describes the altitude of a triangle?
7. ### math

construct a triangle ABC similar to given triangle equilateral triangle PQR with side sum such that each of its sides is 6/7 of the corresponding angle PQR
8. ### Physics

An equilateral triangle initially has side length equal to 17 cm. Each vertex begins moving in a straight line towards the midpoint of the opposite side at a constant rate of 2.3 cm/s, continuously forming progressively smaller equilateral …
9. ### Math

Which triangle is not possible to construct?
10. ### math

Using a ruler and a pair of compasses only, construct triangle ABC in which angle BAC is 45 degrees, side AB is 7cm and side AC is 9cm. Locate P, inside the triangle ABC, which is 5cm from A and equidistant from B and C

More Similar Questions