Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,853 users

geometry homework!!!!

0 votes
1) An equilateral triangle has a side length os 2/3. Find its area.

2) A square is inscribed in a circle of radius 3/2. Find the area of the square.

3) Triangles A B C and triangle A' B' C' are similar triangles with A' B'/A B = 5/4. If the area of triangle A B C is 80square units, find the area of triangle A' B' C'.
asked Nov 2, 2013 in GEOMETRY by abstain12 Apprentice

3 Answers

0 votes

1).

Area of equilateral triangle(A) = (√3 * a2)/4, where a is the side length of equilateral triangle.

Here, a = 2/3.

Area(A) = (√3 * (2/3)2)/4

= (√3 * (4/9))/4

= (√3 * 4)/(4 * 9)

= √3/9

= 1.732/9

= 0.192 square units.

Therefore, area of the equilateral triangle is 0.192 square units.

answered Aug 22, 2014 by lilly Expert
reshown Aug 22, 2014 by bradely
0 votes

2).

From the given data, draw a geometric diagram.

Where, radius of the circle is equals to diagonal of the square.

So, r = d = 3/2.

Area of the square(A) = (1/2)d2.

= (1/2))(3/2)2

= (1/2) * (9/4)

= 9/8

= 1.13 square units.

Therefore, area of the square is 1.13 square units.

answered Aug 22, 2014 by lilly Expert
0 votes

3).

If A'B'/AB =5/4

Then the Area of triangle A'B'C'/Area of ABC = 25/16 (since the area must be something square).

Set x as area of triangle A'B'C'.

We have x/80 =25/16.

x = (25 * 80)/16

x = 125 square units.

Therefore, area of triangle A'B'C' is 125 square units.

answered Aug 22, 2014 by lilly Expert

Related questions

asked Nov 2, 2013 in GEOMETRY by futai Scholar
...