All categories

3 years ago

What is the side of equilateral triangle is altitude is 10

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

Answer:

11.55

Step-by-step explanation:

An equilateral triangle is one which all it sides are equal.

10cm altitude means the height is 10cm.

Using Pythagoras theorem,

x² = 10² + (x/2)²

Assume that the side of the triangle is xcm

x² - x²/4 = 100

3x²/4 = 100

x = √(400/3)

x = 11.55cm

You might be interested in

Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in sta

Flauer [41]

Step-by-step explanation:

5x + 2y = 10

Ax + By = C

A = 5

B = 2

C = 10

5 0

2 years ago

Perform the multiplication, (7x2+a2)(x2–3a2)

aksik [14]

Answer:

The given multiplied expression is

$(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

Step-by-step explanation:

Given expression is $(7x^2+a^2)(x^2-3a^2)$

To find the multiplication of the given expression :

$(7x^2+a^2)(x^2-3a^2)$

By using the distributive property to solve the given expression as below

$(7x^2+a^2)(x^2-3a^2)=(7x^2)(x^2)+(7x^2)(-3a^2)+(a^2)(x^2)+(a^2)(-3a^2)$

$=7x^2.x^2-21x^2a^2+a^2x^2-3a^2.a^2$

$=7x^{2+2}-21x^2a^2+a^2x^2-3a^{2+2}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$=7x^4-21x^2a^2+a^2x^2-3a^4$

Adding the like terms in the above expression we get

$=7x^4-20x^2a^2-3a^4$

Therefore $(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

Therefore the given multiplied expression is

$(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4$

8 0

3 years ago

What is the height of an equilateral triangle with all sides equal to 8

vitfil [10]

an equilateral triangle has a square root height if 3 so I'm guessing if you multiply square root of 3 times 8

3 0

3 years ago

Read 2 more answers

PLEASE HELP WITH THIS QUESTION

DedPeter [7]

I think the correct answer is c

3 0

3 years ago

How much does 3 go into 16

sveta [45]

5 times that’s how much

3 0

2 years ago

Read 2 more answers