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∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are each 3/4 this length.

∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are

each 3/4 this length.

2. What is the perimeter of ∆ABC?

a. 31 ft. 4 in.

b. 21 ft. 7 in.

c. 30 ft. 10 in.

d. 18 ft. 6 in.

3. In ∆DEF, DE and DF are each 6 feet 3 inches long. This length is 0.75 times the length of

FE. What is the perimeter of ∆DEF?

a. 12 ft. 4 in.

b. 17 ft. 2 in.

c. 14 ft. 7 in.

d. 20 ft. 10 in.

4. ∆JKL is an isosceles triangle with JL ≅ KL. If JK is three more than x, KL is 17 less than four

times x, and JL is 45 less than six times x, find x and the measure of each side.

e. 39, 39, 17

f. 17, 15, 17

g. 17,17,39

h. 42,42,42

## Answers ( )

Answer:Answer for 2nd is option c, for 3rd is option d, for 4th is option eStep-by-step explanation:As we know 1 ft.=12 in.∴ The congruent sides are

ABandACrespectively∵

=AB+AC+CBPerimeter of ΔABC=9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

=30 ft. 10 in.

2. In ΔDEF

∴ The congruent sides are

DEandDFrespectively∵

=DE+DF+FEPerimeter of ΔDEF= 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

= 20 ft. 10 in.

3. In ΔJKL

∴ The congruent sides are

JLandKLrespectively∵

The dimensions of the ΔJKL are 39,39 and 17.