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hram777 [196]
3 years ago
10

CAN SOMEONE HELP ME FIND THE AREA OF THIS TRIANGLE

Mathematics
2 answers:
Nitella [24]3 years ago
8 0

Answer:

A = 73.1\ m^2

Step-by-step explanation:

We calculate the height of the triangle using the function sin(\theta)

By definition:

sin(\theta) =\frac{h}{hypotenuse}

Where h is the height of the triangle

In this case we have that:

\theta=35\°

hypotenuse=17

Then:

sin(35) =\frac{h}{17}

h=sin(35)*17\\\\\\h =9.75

Then the area of a triangle is calculated as:

A = 0.5 * b * h

Where b is the length of the base of the triangle and h is its height

In this case

b=15

So

A = 0.5 *15*9.75

A = 73.1\ m^2

Lelu [443]3 years ago
4 0

Answer:

Area of triangle = 73.1 m²

Step-by-step explanation:

<u>Points to remember</u>

Area of triangle = bh/2

Where b - base and h - height

<u>To find the height of triangle</u>

Let 'h' be the height of triangle

Sin 35 = h/17

h = 17 * Sin 35

 = 17 * 0.5736

 = 9.75 m

<u>To find the area of triangle</u>

Here b = 15 m and h = 9.75

Area = bh/2

 = (15 * 9.75)/2

 = 73.125 ≈73.1 m²

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