Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
![h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)](https://tex.z-dn.net/?f=h%5E2%3Da%5E2%2Bb%5E2%5C%5C%28b%2B7%29%5E2%3D%28b-7%29%5E2%2Bb%5E2%5C%5Cb%5E2%2B14b%20%2B49%3Db%5E2-14b%2B49%2Bb%5E2%5C%5C0%3Db%5E2-28b%5C%5C0%3Db%2A%28b-28%29)
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
Answer:
3,20,55,30
Step-by-step explanation:
Answer:
=36.0
Step-by-step explanation:
We use the sine rule to find the missing sides as follows;
Lets find the missing angle C by using the summation of interior angles in a triangle.
C=180-(44+48)
=88°
Then,
a/Sin A=c/Sin C
25/Sin 44=c/Sin 88
c=(25 Sin 88)/Sin 44
c=35.97
The side c=36.0 to the nearest tenth.
8x + 6 = 3x + 21
8x - 3x = 21 - 6
5x = 15
5x/5 = 15/5
x = 3