SOLUTION: A. Given the measures of two angles, identify the longest
and shortest side in each triangle.
1. ∆ABC: m∠A = 20° and m∠B = 103°
2. ∆DEF: m∠D = 17° and m∠F = 53
Algebra.Com
Question 1182135: A. Given the measures of two angles, identify the longest
and shortest side in each triangle.
1. ∆ABC: m∠A = 20° and m∠B = 103°
2. ∆DEF: m∠D = 17° and m∠F = 53°
3. ∆GHI: m∠H = 30° and m∠I = 100°
B. Given the lengths of the sides, identify the largest and
smallest angle in each triangle.
4. ∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
5. ∆DEF: 𝐷𝐸̅̅̅̅ = 5, 𝐸𝐹̅̅̅̅ = 10 and 𝐷𝐹̅̅̅̅ = 13
6. ∆GHI: 𝐺𝐻̅̅̅̅ = 6, 𝐻𝐼 ̅̅̅ = 7 and 𝐺𝐼 ̅̅̅ = 10
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1. ∆ABC: m∠A = 20° and m∠B = 103°
angle B > angle A
side opposite to greater angle has greater side
Side AC > side BC
Same rule applies to angles below.
2. ∆DEF: m∠D = 17° and m∠F = 53°
3. ∆GHI: m∠H = 30° and m∠I = 100°
4. ∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
5. ∆DEF: 𝐷𝐸̅̅̅̅ = 5, 𝐸𝐹̅̅̅̅ = 10 and 𝐷𝐹̅̅̅̅ = 13
6. ∆GHI: 𝐺𝐻̅̅̅̅ = 6, 𝐻𝐼 ̅̅̅ = 7 and 𝐺𝐼 ̅̅̅ = 10
Angle opposite to greater side has greater angle
∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
AB > AC >BC
therefore angle C > angle B >angle A
RELATED QUESTIONS
the longest side of a triangle is measures 267m. If two angles are 37 and 48, find the... (answered by josgarithmetic)
The Longest side of a triangle measures 267m. If two angles are 37° and 48°, find the... (answered by Boreal)
in triangle abc m∠a= x^2 m∠b= 11x+5 and m∠c= 13x-17 what is the longest (answered by Edwin McCravy)
Angles A and B are complementary angles. Determine the measures of angles A and B if... (answered by chen.aavaz)
List the sides of triangle MNO in order from longest to shortest if... (answered by unlockmath)
In ΔABC, m∠A = 3x + 40, m∠B = 8x + 35, and m∠C = 10x. Which is the (answered by richwmiller)
Find the perimeter and area of a right triangle if the shortest side is 0.6 m. and the... (answered by mananth)
The measures of the angles of a triangle are given. List the sides from shortest to... (answered by math-vortex)
In triangle LMN (answered by FrankM)