This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
a
Step-by-step explanation:
did the math :)
brainliest pls!
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.8
Step-by-step explanation:
Alright so since you know the length of the side opposite the 27 degree angle and you need to find the hypotenuse, you'll use sin (opposite/hypotenuse) . so you do sin 27= 4/x and then when you do these trigometric ratios something my geo teacher taught me is that if the variable is in the denominator then you have to do the length of the side you know /sin/cos/tan of whatever angle you know. so here you insert in your calculator 4/sin 27 (make sure ur calculator is in degree mode you can check this by doing sin 30 and seeing if it equals 1/2 and if it doesnt you need to search online on how you do degree mode) and you get 8.8108. which rounds to 8.8
