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

Devon earns 9% commission as a salesperson. She sold a refrigerator that cost $960.51. How much commission did Devon earn? Round your answer to the nearest cent
What is the surface area? 8 mm 10 mm 5 mm Explain how you arrived at your answer.
please heelpp this is the foto lelppp
2. How does the Greek debate of optimistic versus pessimistic apply to the study of personality? O A. It examines if humans can change their personalities. O B.
HELP ME ASAP I NEED HELP PLEASE SOMEONE
What is the solution to the equation?
How was racial segregation and discrimination institutionalized by the federal housing administration
Determine the value of the information in scientific notation. The moon is approximately 3. 63 × 108 meters from Earth. What is 3. 63 × 108 in standard notation
What is the synonym for big?
Which of the following are the three largest categories of federal government spending?.