alvarezemily8360 alvarezemily8360
  • 08-02-2022
  • Mathematics
contestada

the height of a triangle is 7cm greater than its base and its area is 15cm squared. find the value of its height

Respuesta :

s1m1
s1m1 s1m1
  • 08-02-2022

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

Answer Link

Otras preguntas

What influence did the so-called “German suburb" have on Peter's aspirations for Russia?
What group of people did Louis draw from for his advisors?
Why are they parallel?
Write a summary of “1963: the year that changed everything”
can someone explain how to calculate a unit rate ​
A budget surplus occurs when spending is greater than revenue. the government balances the budget. revenue is greater than spending. the government raises t
What is the atomic mass (mass number) of this atom? a b,c 09 04 08 O1 O
What is needed for a Bulgarian citizen to travel to the United States? I was wondering what exactly is needed in order to do so. Obviously a passport, but I was
vA narrow slab of minerals that is different from the surrounding rock is known as a _______. a. mineral rock c. vein b. geode d. none of the above Please selec
What is the domain and range of these graphs ?