Posted by **Louse.T** on Monday, December 28, 2009 at 8:29pm.

Monique made a scale drawing of her triangular vegetable garden. Two sides of te garden are 7m and 9m. The angle between these sides is 75 degrees. Monique's drawing was a triangle with side lengths 14.0cm and 18.0cm, with an angle of 75 degrees between them. She drew the third side, then measuired it. It was 19.7cm long. What is the length of the third side of the vegetable garden?

- Math -
**Reiny**, Monday, December 28, 2009 at 9:01pm
you have 2 similar triangles

the ratio of the numerical values of corresponding sides of the scale model to the actual garden is 2:1

Since the side in the scale model is 19.7 cm, the side in the garden would have to be 9.85 or 9.9 m.

(actually we could have just used the cosine law to find the third side of the garden

x^2 = 7^2 + 9^2 - 2(7)(9)cos 75ยบ

x^2 = 97.3888

x = √97.3888 = 9.87 or 9.9 m )

- Math -
**Emily Rae**, Monday, April 11, 2011 at 4:27pm
A triangle has side lenghts of 27 inches,54 inches and 72 inches.Wich list shows the side lenghths of a simillar triangle ?? A.3inches,6inches,8inches B.9inches,36inches,45inches C.9inches,18inches,16inches D.18inches,27inches,54inches

## Answer This Question

## Related Questions

- plane and spherical trigonometry - a farmer has a triangular garden with two ...
- geometry - I have a triangle garden in my backyard. one side is 4 meters and ...
- algebra 1 - Charles wants to build a vegetable garden such that three sides of ...
- geometry - francisco designed a triangular garden surrounded by three square ...
- math - a designer creates a drawing of a triangular sign on centimeter grid ...
- math - hey everyone can you guys please answer these 5 questions or 3 or 2 how ...
- math - Lucas is designing a flower garden in the shape of an isosceles right ...
- math(CHECK ASNWERS) - PLEASE CHECK MY ANWERS THANKS 1.The length of the driveway...
- math - Lucas is designing a flower garden in the shape of an isosceles right ...
- math - Mrs. Sen makes two third of her garden into a vegetable garden. She ...

More Related Questions