9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Consider ∆JWZ and ∆JKZ
WZ~KJ (given)
<u>/</u><u> </u><u>WZJ</u>~<u>/</u><u> </u>KJZ (given)
JZ~JZ (common)
Therefore,
∆JWZ~∆JKZ by SAS congruence rule.
JW~ZK by CPCT.
Answer:
1 out of 15
Step-by-step explanation:
