the perimeter of a triangle is 34 units. its width is 6.5 units. write an equation to determine the length (l) of the rectangle

1 answer:

3 0

Perimeter = length of the 3 sides of the triangle ie 34units

Since width we are given 6.5 units

We have to find the remaining 2 sides:

Formula of Triangle for Perimeter

P = a + b + c (sum of sides)

simplify: P= a + 2b (its an isosceles)

34 = 6.5 + 2b

34 - 6.5 = 2b

27.5 = 2b

Só b = 13.75 units each length of triangle

Relationship between triangle and rectangle

= rectangle has four right angles, so a triangle has an angle of half since it bisects the edges (ie 45*)

Use Trig Ratios to find L

SOHCAHTOA

we want adjacent ( L)

13.75 sin 45

L = 9.72

Thus your equation is

Equation used to find Triangle × Trig ratios

P = a + 2b
sin 45

Where L is length of rectangle
a is width of triangle

L =(P - a +2b)× sin 45

You might be interested in

Computer purchases: Out of 809 large purchases made at a computer retailer, 347 were personal computers, 398 were laptop compute

Luda [366]

Step-by-step explanation:

personal- 347 ÷ 809 = 0.43%

lap top- 398 ÷ 809 = 0.49%

printer- 64 ÷ 809 = 0.08%

6 0

3 years ago

???????anyone know...

RUDIKE [14]

The answer is: " 60° " .
__________________________________________________________
" m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).

The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.

All triangles by, definition, have 3 (three) angles that add up to "180° " .

Since each of the 3 (three) angles is equal; and the three angles are:

"∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
______________________________________________________
m∠A = 180° ÷ 3 = 60° .
______________________________________________________
The answer is: " 60° " .
______________________________________________________
m∠A = " 60° " .
______________________________________________________

7 0

2 years ago

VikaD [51]

Answer:

a. Point S

b. Line segment PT and Line segment ST

c. PSQRU

d. Lines PR and SQ

e. Plane C and Plane QRS

Step-by-step explanation:

7 0

1 year ago

A garden is 53 feet long and 24 feet wide. how many square feet are in the garden?(set up an equation for this Problem but do no

9966 [12]

I think your talking about area so just 53 x 24= your answer

7 0

2 years ago

Solve a triangle when A=15° B=113° and b=7?

JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

$A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}$

Apply Sine rule in the triangle ABC, we get

$\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71$

Therefore, we have

$a=1.97\\
c=6.71\\
C=62^{\circ}$

4 0

3 years ago