In the right triangle of question above, BP is the altitude from the right angle B to the hypotenuse AC where AB = 5, BC = 12, AC = 13. Using area in two ways, find the length of BP (in cm, to two decimals).

Question

Accepted Answer

4.62. Area = 1/2(AB)(BC) = 1/2(5)(12) = 30. Also area = 1/2(AC)(BP) = 1/2(13)(BP). So BP = 60/13 = 4.615 approx 4.62 cm.

In the right triangle of question above, BP is the altitude from the right angle B to the hypotenuse AC where AB = 5, BC = 12, AC = 13.
Using area in two ways, find the length of BP (in cm, to two decimals).

Step-by-Step Solution

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More Class 10 Pythagoras Theorem practice

In the right triangle of question above, BP is the altitude from the right angle B to the hypotenuse AC where AB = 5, BC = 12, AC = 13.Using area in two ways, find the length of BP (in cm, to two decimals).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

In the right triangle of question above, BP is the altitude from the right angle B to the hypotenuse AC where AB = 5, BC = 12, AC = 13.
Using area in two ways, find the length of BP (in cm, to two decimals).