Question

I need help with this​

Answer 1

Answer:

n = √3

m = √3

Step-by-step explanation:

The triangle is an isosceles right triangle with 2 equal base angles of 45° each.

Thus:

Reference angle = 45°

Hypotenuse = √6

Opposite = m

Adjacent = n

✔️To find m, apply the trigonometric function SOH, we have:

Sin 45 = opp/hyp

Sin 45 = m/√6

√6 × 1/√2 = m (sin 45 = 1/√2)

√6/√2 = m

√(6/2) = m

√3 = m

m = √3

✔️To find n, apply the trigonometric function, CAH:

Cos 45 = adj/hyp

Cos 45 = n/√6

√6 × √2/2 = n (cos 45 = √2/2)

√12/2 = n

√(4*3)/2 = n

(2√3)/2 = n

√3 = n

n = √3