Answer:
63. Perimeter: 60.4 units
Area: 126.14 units²
64. x = 8
m = 62⁰
Step-by-step explanation:
First, let us solve question 63. To find the perimeter and the area of the triangle, we will first find the x and y value.
Formulas we would use to find the answer in Q. 63 :-
Cos = opposite / hypotenuse
Sin = adjacent / hypotenuse
Area = 1/2 × b × h
Perimeter = adding all sides
Let us find the y value using the formula of Cos.
Cos = opposite / hypotenuse
Cos24⁰ = y / 26
26(Cos24⁰) = (y / 26)26
26(Cos24⁰) = y
23.8 = y ---> *since it said to round to the nearest hundredth.*
Now let us find the x value by using the formula of Sin.
Sin = adjacent / hypotenuse
Sin24⁰ = x / 26
26(Sin24⁰) = (x / 26)26
26(Sin24⁰) = x
10.6 = x ---> *since it said to round to the nearest hundredth.*
Now let us find the perimeter and the area.
Area = 1/2 × b × h
Area = 1/2 × 10.6 × 23.8
Area = 126.14 units²
Perimeter = adding all sides.
Perimeter = 26 + 23.8 + 10.6
Perimeter = 60.4 units
On to Q. 64. Formulas we would use to find the answer of Q. 64 is :-
Tan = opposite / adjacent
Sin = opposite / hypotenuse
Let us find m. In order to find m, we will use the Sin formula.
Sin = opposite / hypotenuse
Sinm⁰ = 15 / 17
m⁰ = sin-1(15 / 17)
m⁰ = 62 ---> *since it said to round to the nearest whole number.*
Now let us find x by using the formula of Tan.
Tan = opposite / adjacent
Tan62⁰ = 15 / x
x(Tan62⁰) = (15 / x)x
x(Tan62⁰) = 15
x(Tan62⁰) / Tan62⁰ = 15 / Tan62⁰
x = 15 / Tan62⁰
x = 8 ---> *since it said to round to the nearest whole number.*
Hope this helps, thank you :) !!
