Mensuration Q: Right Triangle, xy=a^2?

  • Thread starter Cromptu
  • Start date
In summary, a right triangle is a triangle with one angle measuring 90 degrees and is formed by the intersection of the two shorter sides. The formula xy=a^2 is used in mensuration to find the area of a right triangle, where the product of the two shorter sides is equal to the square of the longest side. To find the area, you need to know the values of x, y, and a and plug them into the formula. This formula cannot be used to find missing sides of a right triangle, for which other formulas such as the Pythagorean theorem or trigonometric ratios are needed. Mensuration and the xy=a^2 formula have various real-life applications in fields such as engineering, architecture, and surveying
  • #1
Cromptu
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Homework Statement


Choose the correct answer :
In a right angled triangle with sides x and y, hypotenuse z, the altitude drawn on the hypotenuse is a, then:

a) xy = a^2
b) 1/x+1/y = 1/a
c)x^2+y^2=2a^2
d)1/x^2+1/y^2=1/a^




Homework Equations



x^2+y^2=z^2

The Attempt at a Solution

 
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  • #2
You need to draw the diagram, to show that you understand the question.

Correct answer is:

(e) none of the above
 

Related to Mensuration Q: Right Triangle, xy=a^2?

1. What is a right triangle?

A right triangle is a triangle with one angle measuring 90 degrees. This angle is called the right angle and is formed by the intersection of the two shorter sides of the triangle.

2. What is xy=a^2?

xy=a^2 is a formula used in mensuration to find the area of a right triangle. It states that the product of the two shorter sides (x and y) is equal to the square of the length of the longest side, also known as the hypotenuse (a).

3. How do you find the area of a right triangle using xy=a^2?

To find the area of a right triangle using xy=a^2, you need to know the values of x, y, and a. Once you have these values, you can plug them into the formula xy=a^2 and solve for the area. The resulting value will be the area of the triangle in square units.

4. Can xy=a^2 be used to find the missing side of a right triangle?

No, xy=a^2 can only be used to find the area of a right triangle. To find a missing side, you would need to use other formulas such as the Pythagorean theorem or trigonometric ratios.

5. What are some real-life applications of mensuration and the xy=a^2 formula?

Mensuration and the xy=a^2 formula have many real-life applications, including calculating the areas of land, designing buildings and structures, and determining the amount of material needed for construction projects. They are also used in fields such as engineering, architecture, and surveying.

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