Answer:
x = 13.56, y = 15.75 and z = 26.70 to the nearest hundredth.
Step-by-step explanation:
The small triangle containing the side = 8, and the larger one containing the side = 23 are similar so:
8/ x = x/23
x^2 = 184
x = √184.
By the Pythagoras Theorem:
z^2 = (√184)^2 + 23^2
z^2 = 713
z = √713.
Also, using the PythagorasTheorem:
y^2 = 31^2 - 713
y^2 = 248
y = √248.
To the nearest hundredth:
x = 13.56, y = 15.75 and z = 26.70.
