Find the length of the uknown side round your answer to the nearest whole number.
1 answer:
Answer:
The length of the unknown side is 10 meters
Step-by-step explanation:
we know that
In this problem we have an isosceles right triangle
Applying the Pythagorean Theorem
where
c is the hypotenuse (unknown side)
a and b are the legs
we have
substitute
Round to the nearest whole number
therefore
The length of the unknown side is 10 meters
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Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
