Question

Triangle A and Triangle B have the same base. The height of Triangle B ice the height of Triangle A. How many times greater is the area of is tw Triangle B? Big Ideas Math G

Answer 1

Answer:

The area of Triangle B is twice the area of Triangle A .

Step-by-step explanation:

Given as :

Triangle A and Triangle B have same base

The height of Triangle A twice Triangle B

For Triangle A

The base of Triangle A = $b_1$ = b

The height of Triangle A = $h_1$ = h

Let The area of Triangle A = $A_1$

∵ The Area of Triangle = $\dfrac{1}{2}$ × base × height

So, $A_1$ =  $\dfrac{1}{2}$ × b × h            ......1

For Triangle B

The base of Triangle B = $b_2$ = b

The height of Triangle B = $h_2$ = twice the height of Triangle A

I.e  $h_2$ = 2 h

Let The area of Triangle B = $A_2$

So, $A_2$ =  $\dfrac{1}{2}$ × b × 2 h           ........2

Now, Comparing both equation 1 and 2

∵ $A_2$ =  $\dfrac{1}{2}$ × b × 2 h    

Or, $A_2$ = 2 × $\dfrac{1}{2}$ × b × h    

Or, $A_2$ = 2 × $A_1$

So, The area of Triangle B = 2 times The area of Triangle A

Hence, The area of Triangle B is twice the area of Triangle A . Answer