Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
To solve an addition problem, you simply add one number to the other. For example,
If I want to add 4 to 5, I would write the equation 4 + 5 = 9.
To solve a subtraction problem, you simply take a number away from another. For example,
If I want to take 5 away from 9, I would write the equation 9 - 5 = 4.
Hope I helped! :)
Some of the important "given" information is outside of the photo.
We need to know that the two triangles are similar.
And we need to know that the WHAT ? of angle M is 9/40.
