Question

Q# 18 please help to solve this

Answer 1

To solve this problem you must apply the Pythagorean Theorem:
 a) Taking 28 in as the hypotenuse of the right triangle (the largest side), you have:
 a^2=b^2+c^2
 Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle. Then, you have:
 a=28 in
 b=15 in

 c^2=a^2-b^2  c=√(a^2-b^2) c=23.6
 The answer is: 23.6 in

 b) Taking 28 in as a one of the sides that are smaller than the hypotenuse, you have:
 a=√(b^2+c^2)
 b=28 in
 c=15 in
 Where "a" is the hypotenuse
 a=31.8 in
 The answer is: 31.8 in

Answer 2

The find the missing length  of a right triangle we use the Pythagoras theorem that says;
 a²=c²-b²,
b²=c²-a² and 
c²=a²+b².
Where a and b are the two sides of the triangle and c is the hypotenuse.
Now we are looking for the hypotenuse,

So, c²=a²+b²
         =28²+15²
         =1009
   
c = √1009
    = 31.765 in

To the nearest tenth, 
Answer = 31.8 in