The height of a triangle is 5 m less than its base. the area of the triangle is 42 m². what is the length of the base? enter your answer in the box.

The length of the base is 12 m

Step-by-step explanation:

Given : The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².

We have to find the  length of the base.

Given the height of triangle is 5 m less than base

Let base be x then height is ( x -5 ) m

Area of triangle is

also given area of triangle is 42 m²

substitute, we get,

Solving , we get,

Simplify we get a quadratic equation as,

Using quadratic formula,

For the standard quadratic equation , the solution of roots is given by,

For a = 1 , b= -5 , c = -84 , we get

Simplify, we get

We know , we get

and

and

ignoring negative value as side cannot be negative.

thus, x = 12

base is 12 m  then height is ( 12 -5 ) m = 4 m

Thus, the length of the base is 12 m.

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.