Question

PLS HELP I WILL MARK BRAINLIEST (EDITED)
Step 2: Finding the area of triangles

a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.

a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner




What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)

Answer 1

Answer:

51.9

Step-by-step explanation:

because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).

Answer 2

The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

What is a right-angle triangle?

"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".

For the given situation,

A rectangular door has a diagonal, d = 60

A rectangular door has a height, h = 30

When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.

The formula of Pythagoras theorem,

$Hypotenuse^{2} = base^{2}+perpendicular^{2}$

$Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} }$

On substituting the above values,

⇒ $Base = \sqrt{60^{2}-30^{2} }$

⇒ $Base=\sqrt{2700}$

⇒ $Base=51.9$

The formula to find the area of a right-angle triangle, $A = \frac{1}{2}(base)(height)$

⇒ $A = \frac{1}{2}(51.9)(30)$

⇒ $A=778.5$

Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

Learn more about the right-angled triangle here

https://brainly.com/question/24214611

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