Find AB. Write your answer in the simplest form

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

We have a triangle 45° - 45° - 90°.

Sides are in the ratio 1 : 1 : √2 (<em>look at the picture</em>).

If $BC=12\sqrt2$ then $AB=(12\sqrt2)(\sqrt2)=(12)(2)=24$

Used $(\sqrt{a})(\sqrt{a})=a$

You might be interested in

Write a word phrase for the following algebraic expression<br> 0.5 (y+3.3)

AlladinOne [14]

0.5(y + 3.3)

The product of 0.5 and the sum of y and 3.3.
0.5 times the sum of y and 3.3

6 0

3 years ago

What is the surface area of the triangular prism shown?

Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 15\ cm$

$Area = 375\ cm^2$

The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 12\ cm$

$Area = 300\ cm^2$

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 9\ cm$

$Area = 225\ cm^2$

The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

$Area = \frac{1}{2}* b*h$