Base=30cm Heights=20cm Find the X?
2 answers:
Answer:
x = 25 cm
Step-by-step explanation:
Given the triangle is isosceles ( 2 equal sides )
Then the line from the vertex is a perpendicular bisector of the base
We can use Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
where x is the hypotenuse and the legs are 15 and 20, so
x² = 15² + 20² = 225 + 400 = 625
Take the square root of both sides
x = = 25
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Carlos can put the blocks in this three ways:
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(iii) 12 large blocks and 6 small blocks.
The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:
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(1)
Where:
- Quantity of small blocks.
- Quantity of large blocks.
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(2)
From (2) we get the following combination of sets:
1)
2)
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Carlos can put the blocks in this three ways:
(i) 32 large blocks and 4 small blocks.
(ii) 22 large blocks and 5 small blocks.
(iii) 12 large blocks and 6 small blocks.
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