Mathematics, 25.01.2021 17:10 gracethegreat1

5 A triangle has two congruent angles. The length of one side of the triangle is 16 cm and the length of another
side is 32 cm. Which of the following is the length of
the third side of the triangle?
A. 64 cm
B. 48 cm
C. 32 cm
D. 16 cm
E. It cannot be determined based on the informati

Answers: 3

Show answers

Answers

Answer from: Briannadavis03

We want to find the length of the missing leg of the given triangle. We will see that the correct options are C and D.

Congruent angles:

Two angles are congruent if these have the same measure.

Then if the triangle has two congruent angles it means that the triangle must be an isosceles triangle.

Finding the missing side.

We know that one side measures 16cm and the other side measures 32 cm, and this is an isosceles triangle, so it must have two equal sides.

Then the possible measures of the missing side are either 16cm or 32 cm.

So the correct options are C and D.

If you want to learn more about triangles you can read:

link

Answer from: jech3947

C. 32 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

C. 32 cm

Answer from: Quest

you just switch the numbers basically so it would be 3/17

Answer from: Quest

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ

where s = arc length

r = radius = 3 inches

θ = central angle in radians = ( π /180)*165

s = 3(π/180)*165

= 8.64 inches

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

Julie multiplies 6.27 by 7 and claims the product is 438.9 .explain without multiplying how you know juliesanswer is not correct.find the correct answer

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Lines f and g are cut by the transversal d. the measure of 1 = 2x + 35 and the measure of 8 = 10x - 85. what value of x will show that lines f and g are parallel? a. 19 b. 26 c. 18 d. 15

Answers: 1

Answer

You know the right answer?

5 A triangle has two congruent angles. The length of one side of the triangle is 16 cm and the leng...

Questions