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Luden [163]
1 year ago
10

A triangle has two sides measuring 8. 5 cm and 15 cm. What is the greatest whole number length possible for the third side? expl

ain.
Mathematics
1 answer:
NikAS [45]1 year ago
3 0

The greatest whole number possible length for the given measures of triangle is 23 cm.

As given in the question,

Measure of two side-length of a given triangle are :

Let 'x' be the side length = 8.5cm

And 'y' be the side length = 15cm

'z' be the side length of the third side of a triangle.

Sum of two sides is greater than third side and difference of two sides is smaller than the third side.

y - x < z < y + x

⇒ 15 - 8.5 < z < 15 + 8.5

⇒ 6.5 cm < z < 23.5cm

Greatest whole number representing length of the third side of a triangle is  less than 23.5 .

⇒ z = 23cm

Therefore, the length of the third side of a triangle represented by greatest whole number is equal 23cm.

Learn more about length here

brainly.com/question/8552546

#SPJ4

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3 years ago
Find an angle 0 coterminal to 904°, where 0° &lt; 0 &lt; 360°
borishaifa [10]

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184

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4 0
2 years ago
In the diagram below, AC and CB, AB and CD, and m(angle)A=33 degrees. Find M(angle)B
hoa [83]

Answer:

15°.

Step-by-step explanation:

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

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m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

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Have a good Day!

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