Atriangle has a base of 3 2/5 inches in an area of five and one 10 in.² what is the height of the triangle

3 inches

Step-by-step explanation:

We are given;

The base of a triangle as 3.4 inches (in decimal form)

The area of triangle as 5.1 in² (in decimal form)

We are required to calculate the height of the triangle;

The area of a triangle is given by;

Area = 0.5 × b × h

Rearranging the formula;

h = Area ÷ (0.5 × b)

Therefore;

Height = 5.1 in² ÷ (0.5 × 3.4 in)

            = 3 inches

Thus, the height of the triangle is 3 inches

no

step-by-step explanation:

2-7=-5

7-2=5

when you combing like terms for ech expression, 5 and -5. these numbers are not equal to each other.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240