The size of one leg of a appropriate triangle is 7 ft longer than the various other leg. The hypotenuse is 17 ft long. Find the lengths the the two legs.

Show your work


\"*\"

Hi Jim,

We would usage the pythagorean theorem.

You are watching: What is the length of one leg of the triangle?

One leg would be x

the other is x + 7

hypotenuse is 17.

so x^2 + (x +7 )^2 = 17^2

solving x^2 + x^2 + 14 x + 49 = 289

solving ours quadratic would be

2 x ^ 2 + 14 x + -240= 0

factoring x = 8

and x + 7 =15

I expect this helps


Since its a best angled triangle, that will meet the Pythagoras equation.

The amount of the squares of the sides is equal to the square that the hypotenuse.

If one side is x, the various other side is 7+x.

so x2 + (7+x)2 = 172

x2 + x2 + 14x + 49 = 289

2x2 + 14x - 240 = 0.

See more: Is Alcohol An Energy Yielding Nutrient S? Are Vitamins Energy Yielding Nutrients

x2 + 7x - 120 = 0.

x = (-7 + √(49 + 4*1*120))/2 or (-7 - √(49 + 4*1*120))/2

x = 8, -15

Since negative side that a triangle is not acceptable, the length of various other two legs are 8 ft and 15 ft


questioning a concern for cost-free

acquire a totally free answer to a fast problem. Many questions answered in ~ 4 hours.


uncover an virtual Tutor currently

pick an expert and meet online. No packages or subscriptions, pay only for the moment you need.


¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊
mathematics Algebra 1 Algebra 2 Calculus Trigonometry Probability Algebra Word problem Proofs Geometric Proofs ... Math help Triangle Area circles Triangles Volume math Midpoint angle Geometry Word difficulties

RELATED QUESTIONS

what is a bisector geometry

answers · 4

what is one equation same of a heat parallel to y=2/3x-4 and goes with the point (6,7)

answers · 5

what space some angles that deserve to be called with one vertex?

answer · 2

name of a 2 demension number described listed below

answers · 6

just how to discover the distance of the incenter of one equlateral triangle come mid center of every side?

answers · 6