Answer:
5√2
Step-by-step explanation:
This triangle is a 45 - 45- -90 triangle which is a special trig triangle. This triangle has side lengths which are always the lengths or a a multiple of 1 - 1 - √2.
Since the side length which is longest is 10, this corresponds to the side length √2. Look for a number which when multiplied with √2 gives 10.
√2*√50 = √100 = 10.
The triangle has scaled up the parent triangle by a factor of √50. This means the other sides are 1*√50 = √50 = 5√2
This simplifies to 5√2 since √50 = √25*√2 = 5√2.
