Question

I need help finding the base and the height of this triangle!

Answer 1

That's all you're given?

Answer 2

The ratio of the lengths of the base and corresponding height of a triangle is 5:3. If the area of the triangle is 270 mm^2, find the base and height.

Answer 3

Sorry.

Answer 4

so,

\[\Large A = \frac{b*h}{2}\]

\[\Large 270 = \frac{5x*3x}{2}\]

solve for x

Answer 5

then use x to find b = 5x and h = 3x

Answer 6

@jim_thompson5910 Does that simplify down to:\[270=\frac{ 8x }{ 2 }\]

Answer 7

5x*3x is not 8x

Answer 8

you're thinking of 5x + 3x = 8x

Answer 9

Oh. Then would it be 15x?

Answer 10

@jim_thompson5910

Answer 11

15x^2

Answer 12

x*x = x^2

Answer 13

\[\Large 270 = \frac{5x*3x}{2}\]

\[\Large 270 = \frac{15x^2}{2}\]

Answer 14

keep going to solve for x

Answer 15

@jim_thompson5910 Could you please give me step-by-step on how to solve. I'm really struggling.

Answer 16

\[\Large 270 = \frac{5x*3x}{2}\]

\[\Large 270 = \frac{15x^2}{2}\]

\[\Large 270*2 = 15x^2\]

\[\Large 540 = 15x^2\]

\[\Large 15x^2 = 540\]

\[\Large x^2 = \frac{540}{15}\]

\[\Large x^2 = 36\]

\[\Large x = \sqrt{36}\]

\[\Large x = 6\]


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b = 5x = 5*6 = 30


h = 3x = 3*6 = 18


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So the base is 30 and the height is 18

Answer 17

Okay. Thank you so much! This reallyyyyyyy helped me. I was so lost!

Answer 18

np