estefany98sanchez estefany98sanchez
  • 02-05-2020
  • Mathematics
contestada

The base of a triangle exceeds the height by 7 centimeters . If the area is 114 square centimeters, find the length of the base and the hight of the triangle

Respuesta :

mysticchacha
mysticchacha mysticchacha
  • 05-05-2020

Answer:

base length = 19 cm  ,  height = 12 cm

Step-by-step explanation:

Area formula  :  A =  (1/2)*b*h

b = h + 7 cm

A = 114 sq. cm

114  =  (1/2) * (h + 7) *h

228 = hh + 7h

hh + 7h - 228 = 0

h = -7/2   +  root( 49 - 4*(-228)) /2

h = -7/2 + 31/2

h = 24/2 = 12 cm

base = 12 cm + 7 cm = 19 cm

Answer Link

Otras preguntas

Multiply 2x(x2 + 5).
The Commercial Revolution of the 16th and 17th centuries led to the Industrial Revolution by
Amazon.com uses a customer profiling system whenever a customer visits its website. using this system, amazon can offer products tailored to that particular cus
Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry yeast, 2 cloves of garlic, 1 tab
What are literary devices
Which of the following is a prepositional phrase? a. slowly woke up b. harvest moon c. under the table d. tired baby
Reduce the rational expression to lowest terms:
What is the distance between-10 and 10 on the number line?
What is the best method to use when previewing text? problem and solution skim and scan question and answer close reading
In France, _________always stays in the left hand. la cuillère le verre la fourchette l' assiette