Hello!

You need to separate this into two rectangles and add their areas together

first rectangle

3 * 6 = 18

rectangle 2

3 * 2 = 6

18 + 6 = 24

the answer is 24in squared

5 0

3 years ago

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Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

How do i put 16/25 into a decimal and percent

Eduardwww [97]

Decimal: Divide 16 by 25: 0.64
Percent: move the decimal 2 places to the left: 64, then add a percent sign: 64%

7 0

3 years ago

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HELP FAST PLEASEEEEE

White raven [17]

Answer:

The third one

Step-by-step explanation:

3 0

3 years ago

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An 18-foot piece of rope costs $17.82. What is the price per yard?​

An 18-foot piece of rope costs $17.82. What is the price per yard?