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12345 [234]
3 years ago
10

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.

Mathematics
2 answers:
nordsb [41]3 years ago
8 0

The greatest whole possible whole number length of the unknown side is 9 inches

<em><u>Solution:</u></em>

Two sides of an acute triangle measure 5 inches and 8 inches

The length of the longest side is unknown

We have to find the length of unknown side

The longest side of any triangle is a hypotenuse

<em><u>For a acute triangle we know:</u></em>

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

c^2

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

c^2< 5^2+8^2\\\\c^2 < 25 + 64\\\\c^2 < 89\\\\c < 9.4

On rounding to nearest whole number,

c < 9

Hence, to the greatest whole possible whole number length of the unknown side is 9 inches

mamaluj [8]3 years ago
3 0

Answer:

The greatest whole possible whole number length of the unknown side is 9 inches

Step-by-step explanation:

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