SOLUTION: hypotenuse is 2.65m in a right angle triangle. Neither leg is given a length but we know that the legs are the same length. How would I solve this?

Question 366070: hypotenuse is 2.65m in a right angle triangle. Neither leg is given a length but we know that the legs are the same length. How would I solve this?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
hypotenuse is 2.65m in a right angle triangle. Neither leg is given a length but we know that the legs are the same length. How would I solve this?

legs equal --> leg a = leg b --> a = b
hypotenuse = c = 2.65 m
Pythagorean Theorem --> a^2 + b^2 = c^2 --> 2a^2 = c^2, since a = b

2a^2 = 2.65^2
2a^2 = 7.0225
a^2 = 3.51125
a = b = 1.873833 to 6 places
a = b = 1.87 m to 2 places

RELATED QUESTIONS
2 legs of a right triangle are in the ratio of 5:6. The hypotenuse is 61. If the longer... (answered by stanbon)

the hypotenuse of a right triangle is 8√2 cm long. the legs are equal in length.... (answered by reviewermath)

the hypotenuse of an isosceles right triangle is 7 centimeters longer than either of its... (answered by mananth,ewatrrr)

The hypotenuse of a right triangle is 10cm long. The two legs are equal in length. Find... (answered by Gogonati)

In a right triangle the sum of the 2 legs is 23. The hypotenuse is 2 more than the longer (answered by mananth)

The longer leg of a given right triangle is 7ft greater in length than the shorter leg of (answered by ewatrrr)

The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is (answered by solver91311)

I have a right triangle with a hypotenuse measuring 25 ft. I need to "find the... (answered by rothauserc)

The length of the hypotenuse of a right triangle is 40 cm. The legs of the triangle are... (answered by Evy Hofbauer)