select the correct answer. what is the value of x in the triangle? 10 10 x o a. 10√2 o b. 10 o c. 20 o d…
select the correct answer. what is the value of x in the triangle? 10 10 x o a. 10√2 o b. 10 o c. 20 o d. 20√2 o e. 10√3
Answer
Explanation:
Step1: Identify the triangle type
This is a right - isosceles triangle with legs of length 10.
Step2: Apply the Pythagorean theorem
For a right triangle (a^{2}+b^{2}=c^{2}), where (a = b=10) and (c=x). So (x=\sqrt{10^{2}+10^{2}}).
Step3: Simplify the expression
[ \begin{align*} x&=\sqrt{100 + 100}\ &=\sqrt{200}\ &=\sqrt{100\times2}\ & = 10\sqrt{2} \end{align*} ]
Answer:
A. (10\sqrt{2})