4 64 the answer is 11,179
1,597
x 7
11,179
Refer to the diagram shown below.
m∠A = 120°
b = 13 cm
c = 15 cm
From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
= 0.5*13*15*sin(120°)
= 84.4375 cm²
Answer: 84.4 cm² (nearest tenth)
Answer:
The area of triangles are 16 cm^2 and 49 cm^2
Step-by-step explanation:
we know that
If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller triangle in square centimeters
y ----> the area of the larger triangle in square centimeters
we know that


so

-----> equation A
----> equation B
solve the system by substitution
substitute equation A in equation B

solve for y


Find the value of x


therefore
The area of triangles are 16 cm^2 and 49 cm^2
The length of the other leg to the nearest tenth of a foot is 5.7 feet.
What is Pythagorean theorem?
- A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
- The Pythagoras theorem equation is expressed as,
, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.
We can use the Pythagorean Theorem to find the length of the other leg

"a" and "c" represent the two legs of the triangle and "b" represents the perpendicular.
So,

= 7² - 4²
b = 
⇒ 5.7 feet
Therefore, the length of the other leg to the nearest tenth of a foot is 5.7 feet.
Learn more about Pythagorean Theorem brainly.com/question/14605061
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Cos20=opp/hyp
cos20=19/x
x=19/cos20