Searches related to The height of a triangle is 4 feet greater than the base. The area of the triangle is 336 square feet. Find the length of the base and the height of the triangle.

base = 24 ft

height = 28 ft

Step-by-step explanation:

first we have to identify the 2 equations that give us

h = b+4

h*b/2 = 336

Now let's replace the h with (b + 4)

(b+4)*b/2 = 336

(b^2+4b)/2 = 336

b^2 + 4b = 336*2

b^2 + 4b = 672

b^2 + 4b - 672 = 0

when we have an equation of the form Ax ^ 2 + Bx + C = 0

we can use bhaskara

(-B√(B^2-4AC))/2A

we replace with the values

(-4√(4^2-4*1*-672))/2*1

b1 = -4 + 52 /2 = 24

b2 = -4 - 52 /2 = -28

we can only use positive values

b = 24

to know the height we replace b with 24 in the equation of the beginning

h = b+4

h = 24+4

h = 28

to corroborate we can calculate the area and see if it gives us correct

h*b/2 = 336

28*24/2 = 336

672/2 = 336

336 = 336

correct

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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