497,111 views
28 votes
28 votes
Find the value of z.
X
7
Y
Z
3
Z = ✓[?]
Please helppppp

Find the value of z. X 7 Y Z 3 Z = ✓[?] Please helppppp-example-1
User Janni Kajbrink
by
2.7k points

1 Answer

26 votes
26 votes

Answer:

z =
√(30)

Explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it) × ( whole hypotenuse) , so

z² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )

z =
√(30)

User Robin Eisenberg
by
2.7k points