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The wall at the front entrance to the Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, is an isosceles triangle. The triangle has a vertex angle of 102. What is the measure of the base angles? Draw a labeled picture. 102 0 39 0 39 0
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102 0. 39 0. 39 0. The wall at the front entrance to the Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, is an isosceles triangle. The triangle has a vertex angle of 102. What is the measure of the base angles? Draw a labeled picture. Find m DBC. 2 0 0. - PowerPoint PPT Presentation
Transcript of 102 0
The wall at the front entrance to the Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, is an isosceles triangle. The triangle has a vertex angle of 102. What is the measure of the base angles?
Draw a labeled picture. 1020
390 390
Find mDBC
200
Find mCAD & mACB
900mCAD = _______ mACB = ______1350
Find the value of x and y.
x = ____ y = ____ 650 500
Find m and n.
m = ____ n = ____ 440 680
Solve for x, each side, classify.
mACB = ____ mBAC = ____650 500
A
BC 650
Classify by sides: _______ Classify by angles: ______Isosceles Acute
Find the value of x and y.
x = ____ y = ____ 30 20
Solve for x and each side.
x = ____ AB = ____ BC = ____ AC = ____4 12
4x + 8 3x + 12
6x
12 12
A
BC
Solve for x, each side, classify.
x = ____ AB = ____ AC = ____12 66
3(2x – 2) 5x + 6
390
66
A
BC 390
Classify by sides: _______ Classify by angles: _______Isosceles Obtuse
Solve for x and each angle.
x = ___ BAC = ___ ABC = ___ ACB = ___17 450 450
A
BC
(3x – 6)0
900
Solve for x and each side.
x = ____ AC = ____ BC = ____ AB = ____-5 30 30
A
BC
-5x + 5
42.4
-2x + 20
If the legs of a right, isosceles triangle each measure 24 inches, find the length of the hypotenuse. Round to the nearest tenth.
x 24
24
x = 33.9
Determine whether the given lengths are sides of a right triangle? Explain.
5.2, 6.5, 3.9
42.25 = 42.25
Yes, because a2 + b2 = c2.
x + 7 = 55
x = 48
55 + (48 + 7) + y = 180
110 + y = 180
y = 170
Find the value of x and y.
x = 45
9y = 45
y = 5
Find the value of x and y.
Find the value of x.This is an isosceles triangle, so the 2 sides are congruent…
5x + 5 = 35
5x = 30
x = 6
This is an isosceles triangle, so the 2 angles are congruent…
9x = 72
x = 8
Find the value of x.
x + x + 102 = 180
2x + 102 = 180
2x = 78
x = 39
Find the value of x.
Find the value of x and y.
3x – 11 = 2x + 11
x = 22
2y = 70y = 35
Check for right angles by checking the slopes. There is a right angle in the triangle if any of the slopes
are perpendicular.
The slope of OP is 2 – 0 – 2 – 0
= – 2.
The slope of OQ is 3 – 0 6 – 0
=21 .
PQO is a right triangle because the slopes of the legs have opposite signs and reciprocals which means they are perpendicular and form a right angle.
Using slopes, determine if PQO is a right triangle. Explain.
SOLUTION
Explanation
