3 beach 2 skiing and 2 camp
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
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(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
Make the circle closed and the > needs to be underlined
Answer:
3a + 5b - 2
Step-by-step explanation:
The perimeter is the sum of all 3 sides of the triangle.
To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.
x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis
= 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1
= 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms
= 3a + 5b - 2 ← length of missing side
Percent of increase formula: new-original/original
so, 60-50=10
10/50 = x/100
therefore x equals 20 so 20%
