# If c is the measure of the hypotenuse of a right triangle, how do you find each missing measure given a=x, b=x+41, c=85?

36 & 77

Hence a = 36 & b = 36+41 = 77

By signing up, you agree to our Terms of Service and Privacy Policy

To find the missing measures of the right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Using the given values, we have: c = 85 a = x b = x + 41

Applying the Pythagorean theorem, we can set up the equation: c^2 = a^2 + b^2

Substituting the given values: 85^2 = x^2 + (x + 41)^2

Simplifying the equation: 7225 = x^2 + (x^2 + 82x + 1681)

Combining like terms: 7225 = 2x^2 + 82x + 1681

Rearranging the equation to standard form: 2x^2 + 82x + 1681 - 7225 = 0

Simplifying further: 2x^2 + 82x - 5544 = 0

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Once we find the value of x, we can substitute it back into the expressions for a and b to find their respective measures.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7