Please help me out, giving 20

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 :) !!

do you have the measurements?