Question

Question attached (5 points per question)

Answer 1

[13] Answer: Both are about 7.07 units.

Explanation:

This triangle is a 45-45-90 triangle, given by the rounded lines in each of the angles. This triangle's sides are given by the ratio 1:1:
`√(2)` for leg:leg:hypotenuse. Using this information, both of the legs are about 7.07 units long, since 10 /
`√(2)` = 7.0710678.

[14] Answer: Both are about 10.61 units.

Explanation:

This triangle is also a 45-45-90 triangle, given by the 45° angle. This triangle's sides are given by the ratio 1:1:
`√(2)` for leg:leg:hypotenuse. Using this information, both of the legs are about 10.61 units long, since 15 /
`√(2)` = 10.6066017.

[15] Answer: Boh are about 4.95 units.

Explanation:

This triangle is also a 45-45-90 triangle, given by the congruent legs shown by the dashes. This triangle's sides are given by the ratio 1:1:
`√(2)` for leg:leg:hypotenuse. Using this information, both of the legs are about 4.95 units long, since 7 /
`√(2)` = 4.949747468.