Find the missing dimension of the triangle.

Answer:

4.66 or 14/3

Step-by-step explanation:

Area of a triangle is (base × height)/2. They have given you the height and the area already, so:

14 = ( b × 6 ) / 2

28 = b × 6

4.66 = b

The base of the triangle is B = 4.667 feet or 14/3 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is A = 14 feet²

Let the height of the triangle be H = 6 feet

Let the base of the triangle be B

And , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

14 = ( 1/2 ) x 6 x B

On simplifying the equation , we get

14 = 3B

Divide by 3 on both sides of the equation , we get

B = 14/3 feet

Therefore , the base of the triangle is B = 4.667 feet

Hence , the base of triangle is 4.667 feet

To learn more about triangles click :

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