alialwardi06
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

help me please i need an answer ASAP

Help Me Please I Need An Answer ASAP class=

Sagot :

Answer:

n = 14

Step-by-step explanation:

Width of the given right angles triangle = (n + 6) cm

Since, height of this triangle is 10 cm less than the width.

Height = (n + 6) - 10

         = (n - 4) cm

Area of a right angles triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                  = [tex]\frac{1}{2}(n+6)(n-4)[/tex]

100 = [tex]\frac{1}{2}(n+6)(n -4)[/tex]

200 = n(n - 4) + 6(n -4)

200 = n² - 4n + 6n - 24

200 = n² + 2n - 24

n² + 2n - 224 = 0

n² + 16n - 14n - 224 = 0

n(n + 16) - 14(n + 16) = 0

(n + 16)(n - 14) = 0

n = -16, 14

Since n = -16 is an extraneous solution, so the answer is n = 14.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.