Answer:
Step-by-step explanation:
A) The diagram of the triangle is shown in the attached photo
The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.
Area = 1/2 × base × height
Height = 3 cm
Base = 4 cm
Area = 1/2 × 3 × 4 = 6 cm²
B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm
The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,
Length of diagonal = 5 cm
Answer: 15
a=5, b=3
3a= 3x5= 15
Answer:
sinA = h/c; sinC = h/a
Step-by-step explanation:
Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?
sinA= h/c
sinC= h/a
sinA= h/c
sinB= b/c
sinA= b/c
sinC= b/a
Solution:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent
Therefore in triangle ABC:
sinA = h/c; sinC = h/a
The total interest earned is 40.75 and the final balance is 65.75
<u>Solution:</u>
Given, principle amount P = 25
Interest rate 
Times compounded per year n = 12
Time in years t = 30
On substituting the values we get
![A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75](https://tex.z-dn.net/?f=A%20%3D%2025%20%5B%201%2B%20%5Cfrac%7B0.0325%7D%7B12%7D%5D%5E%7B12%5Ctimes30%7D%3D%2025%20%5B2.63%5D%3D%2065.75)
Interest I = A - P [since, A = P+I]
Answer:
36
Step-by-step explanation:
A partir das informações fornecidas, as seguintes equações podem ser modeladas:
Resolvendo o sistema:
A diferença entre eles é:
A diferença entre o maior número e o menor número é 36.
