314 Appendix A
False: If mP = 17r and mQ = 25r, mR = 180r – (17r + 25r) = 138r. 'PQR is an obtuse
triangle, not an acute triangle.
If mP = 17r and mQ = 25r, then the longest side of 'PQR is side PQ.
If the vertex angle of an isosceles triangle measures 94r, then the base angles measure 43r each.
In 'XYZ, XY YZ. If XY = 15 cm and YZ = 20 cm, XZ = 25 cm.
In 'RST, ST RT. If ST = 20 inches and RS = 52 inches, RT = 48 inches.
In 'PQR, PQ PR. If PQ = PR = 3 feet, QR = 3 2 4.24 feet.
In 'CAT, CA AT. If CT = 8 meters and CA = 4 meters, AT = 43 6.93 meters.
In 'DOG, DOOG. If DO = 21 cm and DG = 35 cm, OG = 28 cm.
'ABC is a 30r-60r-90r right triangle, with hypotenuse 8 cm long. The length of the shorter leg is
4 cm.
'RST is an isosceles right triangle with legs 5 inches long. The length of the hypotenuse is 52
inches.
'ARM is a right triangle with AR = 14 meters, RM = 28 meters, and AM = 14 3 meters.
mM = 30r.
'LEG is a right triangle with LE = EG and LG = 72 inches. mG = 45r.
'OWL is an isosceles right triangle with OW > OL. L is the right angle.
A bh
1
2
1
2
551433 5 497 cm^2The base is 9 inches.
- If the legs of the right triangle measure 20 cm and 48 cm, the hypotenuse is 52 cm.
P = 20 + 48 + 52 = 120 cm. - In an equilateral triangle with a base b, the altitude will be
1
2
b (^3) , and the area is
A^1 b bb
2
1
2
3
1
4
^23 >. If the area is^93 square inches,^93
1
4
b^23 , so 9 1
4
b^2 , b^2 36 and
b = 6 inches. The perimeter is 18 inches.
Abh
b
b
b
1
2
27 1
2
6
27 3
9
5
5 3
5
5