MATHEMATICS HIGH SCHOOL

a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle

Answers

Answer 1

Answer:

The height of the triangle is 11 cm

What is a Triangle?

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

Given data ,

Let the height of the triangle be = h

The area of the triangle A = 49.5 cm²

The base of the triangle b = 9 cm

So , the area of the triangle is given by the equation ,

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

Substituting the values in the equation , we get

A = ( 1/2 ) x b x h

49.5 = ( 1/2 ) x 9 x h

Multiply by 2 on both sides of the equation , we get

9h = 99

Divide by 9 on both sides of the equation , we get

h = 99/9

h = 11 cm

Therefore , the value of h is 11 cm

Hence , the height of the triangle is 11 cm

To learn more about triangles click :

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Answer 2

Answer: Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Please help need answer asp