MillionDadaDemo7709 MillionDadaDemo7709
  • 13-02-2020
  • Mathematics
contestada

The area of a square is 49 square inches. Find the number of inches in the length of a diagonal. Express your answer in simplest radical form.

Respuesta :

danilobabaglio
danilobabaglio danilobabaglio
  • 13-02-2020

Answer:

9.9 inches

Step-by-step explanation:

if the area of ​​the square is 49 we have and know that the base and height are equal we can express it as follows

X is one side of the square.

X * X = 49

X^2 = 49

X = √49

X = 7

by Pythagoras we can calculate the diagonal of the triangle formed by 2 sides of the square with the following expression

Y is the diagonal

7^2 + 7^2 = Y^2

49 + 49 = Y^2

√98 = Y

Y = 9.9

Answer Link

Otras preguntas

Eres más inteligente que yo. Correct Incorrect
what affects shape of a molecule
The Supreme Court's decision in the case of McCulloch v. Maryland most closely lined up with the position of which of the following? A. Alexander Hamilton B. Th
find the slope of the line that passes through the points (4,10) and (6,9)
Roman governor of Judaea
What is the importance of the symbolism of The symbolism of the armor of the Greek and Trojans ​
1. What would likely happen if you were to touch the flask in which an endothermic reaction were occurring? The flask would probably feel warmer than before the
The setting of a book or story often tells
So, my buddy is new to doing Calculus and needs help understanding this equation, it would be very appeciated for some help
How do I solve absolute value equalities? 4| n+8 | = 56