Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
