Answer:
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The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
Answer:
Step-by-step explanation:
First problem:
blank 2) on the left: PR = PQ + QR
blank 3) on the right: Replace PR in statement 1) with what we just completed in statement 2. Therefore:
2PQ = PR
2PQ = PQ + QR
blank 4) on the right: Subtract PQ from both sides, therefore
2PQ = PQ + QR
2PQ - PQ = PQ + QR - PQ
PQ = QR
Answer:
0.25 or 1/4
Step-by-step explanation:
2 x 1 1/4 = 2 x 1.25 = 2.5 or 2 1/2
2.5 divided by 10 = 1/4 or 0.25
