Plz help me on 15 plz thanks if you help
1 answer:
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Answer:
5a) 2 sides are equal to each other
5b)
6) 16
Step-by-step explanation:
5b) I'm assuming that in this question you are trying to find the hypotenuse? So you use the pythagorean theorum, which is a^2+b^2=c^2. c represents the hypotenuse, so it would be 10^2+10^2=c^2 because the two sides are equal. Then 100+100=200 and the square root of that is 10\sqrt{2}.
6)a^2+b^2=32^2
since a=b you can write the equation as, 2a^2=1024
a^2=1024/2 , which equals a=\sqrt{512}
and simplify it to 16
Answer: x = 15 ; y = 15√2
Concept:
The given triangle in the question is a 45°-45°-90° triangle.
It is considered to be a special triangle where the ratio of side lengths is 1:1:√2, meaning that the legs that correspond with 45° are 1, while the hypotenuse which corresponds with 90° is √2.
Please refer to the attachment below for a graphical explanation.
Given:
A 45°-45°-90° triangle
Leg₁: 15
Solve:
Knowing that the ratio of the triangle is 1 : 1 : √2
<u>Find the value of x</u>
x leg correspond with 45° angle
Leg₁ correspond with 45° angle
Leg₁ = 15
∵ The given ratio is 1 : 1 for 45° angle
<u>Find the value of y</u>
y hypotenuse correspond with 90° angle
Leg₁ correspond with 45° angle
Leg₁ = 15
∵ The given ratio is 1 : √2 for 45° : 90° angle
Hope this helps!! :)
Please let me know if you have any questions
