Question

Use the information given in the figure to find the length EH .
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Answer 1

By Pythagoras Theorem we can say that

FH²= FC²-HC²

FH²= 105²- 84²

FH²= 11025 - 7056

FH² = 3969

FH = √3969

FH = 63 units

Similarly,

EH² = FE² - FH²

EH² = 65² - 63²

EH² = 4225 - 3969

EH² = 256

EH = √256

EH = 16 units