Why are triangles congruent ?

Mathematics

2 answers:

Karolina [17]3 years ago

8 0

So if you have two triangles and you can transform one of them into the other ,the two triangles are congruent

Andru [333]3 years ago

6 0

Explanation:

Basically triangles are congruent when they have the same shape and size.

Two triangles are congruent if they have :

exactly the same three sides and

exactly the same three angles.

Tips Area :

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent too :)

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ;)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ^^

Hope that help :)

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Answer: There will enough to paint the outside of a typical spherical water tower.

Step-by-step explanation:

1. Solve for the radius r from the formula for calculate the volume of a sphere. as following:

$V=\frac{4}{3}r^{3}\pi\\\frac{3V}{4\pi}=r^{3}\\r=\sqrt[3]{\frac{3V}{4\pi}}$

2. Substitute values:

$r=\sqrt[3]{\frac{3(66,840.28ft^{3})}{4\pi}}=25.17ft$

3. Substitute the value of the radius into the equation fo calculate the surface area of a sphere, then you obtain that the surface area of a typical spherical water tower is:

$SA=4r^{2}\pi\\SA=4(25.17ft)^{2} \pi\\SA=7,964.95ft^{2}$

3. If a city has 25 gallons of paint available and one gallon of paint covers 400 square feet of surface area, you must multiply 25 by 400 square feet to know if there will be enough to paint the outside of a typical spherical water tower.

$25*400ft^{2}=10,000ft^{2}$