Respuesta :

Multiply the area by 2
45.5 x 2 = 91
Divide by the base
91/14 = 6.5
The height is 6.5 cm
I hope this helps :)

Answer:

Height of the triangle is 6.5 cm

Step-by-step explanation:

a triangle with an area of 45.5 cm^2 has a base that measures 14 cm

Area of the triangle = 45.5 cm^2

Base of the triangle = 14 cm

Area of the triangle formula is [tex]\frac{1}{2} \cdot base \cdot height[/tex]

Now replace all the values in the formula

[tex]Area =\frac{1}{2} \cdot base \cdot height[/tex]

[tex]45.5=\frac{1}{2} \cdot 14 \cdot height[/tex]

[tex]45.5=7 \cdot height[/tex]

Divide both sides by 7

6.5= height

Height of the triangle is 6.5 cm