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IRISSAK [1]
3 years ago
6

A ramp is built in the shape of a right triangleThe hypotenuse of the ramp is 17 ft and the length of one leg is 8 ft. What is t

he length of the other leg?
A) 12ft
B)15 fr
C)14ft
D)13ft
E) 16ft
Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

B

Step-by-step explanation:

We can easily solve this problem by using the Pythagorean Theorem.

The Pythagorean Theorem says:

One Leg ^ 2 + Another Leg ^ 2 = Hypotenuse ^ 2

<u>Note:</u> This theorem holds true for right triangles

This problem is in fact of a right triangle as said. So we use the theorem to find the other leg's length.

One Leg ^ 2 + Another Leg ^ 2 = Hypotenuse ^ 2

8^2 + Another Leg ^ 2 = 17^2

64 + Another Leg ^ 2 = 289

Another Leg ^ 2 = 289 - 64

Another Leg ^ 2 = 225

The other is the square root of 225, which is 15

The correct answer is B

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m<CDE=66 degrees.

Step-by-step explanation:

(1) Extend the segment DC so it intersects with line BA. Call the intersection F.

(2) Consider triangle BCF. In here, we are given m<ABC=24 deg. Since m<BCD = 90 deg, we known that m<BCF = 90 deg. Knowing two angles in the triangle BCF lets us determine the rhird angle m<BFC = 180-90-24 = 66 deg.

(3) Because of the fact that AB || DE and the fact that line DF intersects AB and DE, the angles <BFC and <CDE are congruent. Therefore m<CDE=66 deg.


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