First, you need to find the length of the second side. You do this by dividing the area by half the length of the known side
This gives you 14 cm for the unknown side
At this point, you plug the two sides of the triangle into the Pythagorean Theorem, which is a^2 + b^2 = c^2
(48)^2 + (14)^2 = c^2
2304 + 196 = c^2
2500 = c^2
The square root of 2500 is 50 so the length of the hypotenuse is 50
Answer:
Yes because 5^2 + 12^2 = 13^2
Step-by-step explanation:
We can check using the Pythagorean theorem
a^2 + b^2 = c^2
5^2 + 12^2 = 13^2
25+ 144= 169
169 = 169
Y can be found by setting the 3 angles in the bottom triangle equal to 180 degrees like so:
45 + 55 + y = 180
100 + y = 180 (Simplify)
y = 80 (Subtract 100 from both sides)
Angles x and y are opposite angles, so they are equal to each other. This means that x = 80 degrees also.
