How to find the height of a right triangle

Practice Questions

ISEE Upper Level Mathematics Achievement › How to find the height of a right triangle

Questions
6
1

Right_triangle

Refer to the above figure. Evaluate the length of in terms of .

2

Right_triangle

Refer to the above figure. Evaluate the length of in terms of .

3

Right_triangle

Note: Figure NOT drawn to scale.

Refer to the above map. A farmer owns a triangular plot of land flanked by the three highways as shown. The farmer uses Highway 2 frequently; however, he can only access it by driving five miles north on Highway 32 or twelve miles east on Highway 100.

He wants to build a dirt road that directly accesses Highway 2. He figures that it will cost $1,500 per tenth of a mile to construct the road. By his estimate, which answer will come closest to the total cost of the shortest possible road?

4

Right_triangle

Note: Figure NOT drawn to scale.

In the above right triangle, . Give the length of .

5

Right_triangle

Note: Figure NOT drawn to scale.

In the above figure, .

Which of the following comes closest to the length of ?

6

Right_triangle

Note: Figure NOT drawn to scale.

In the above figure, .

Which of the following comes closest to the length of ?

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