math

In ΔABC, m∠ACB = 90°,
CD⊥ AB and m∠ACD = 45°
Find :AC, if CD = 6 sqrt2 in.

  1. 👍 0
  2. 👎 0
  3. 👁 274
  1. If you make your sketch, it is easy to see that ∠CAD is also 45°
    giving you an isosceles right-angled triangle, thus
    AC^2 = (6√2)^2 + (6√2)^2
    = 72+72 = 144
    AC = 12

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    Given: ΔАВС, m∠ACB = 90° CD⊥AB , m∠ACD = 30° AC = 6 cm. Find: BD

    asked by Harini on December 19, 2018
  2. Geometry

    Given: ΔАВС, m∠ACB = 90° m∠ACD = 30° AD = 8 cm. Find: CD, Perimeter of ΔABC plz add answer

    asked by Alexa on February 25, 2017
  3. Geometry

    Given: ΔABC, AB = BC Perimeter of ΔABC = 50 Perimeter of ΔABD = 40 Find: BD BD is the altitude and I got 15, 15+20+5=40 20+20+10=50

    asked by Maria on May 8, 2017
  4. math

    Given: ∆ABC is isosceles m∠ACB = 120° m∠BMC = 60° CM = 12 Find: AB M is on line segment AB I saw that someone has already post this question, but I didn't find the answer so I reposted it to c if someone could put the

    asked by Serina on March 19, 2017
  5. Algebra

    Solve: please include statement and reason Given: ΔАВС, m∠ACB = 90° CD ⊥ AB, m∠ACD = 30° AD = 6 cm. Find: BD

    asked by Helen on June 4, 2020
  1. Algebra

    Given: ΔABC, m∠1=m∠2, D∈ AC, BD = DC m∠BDC = 100º Find: m∠A m∠B, m∠C

    asked by Helen on May 1, 2020
  2. geometry

    In ΔABC, m∠ACB = 90°, and m∠ACD = 45°. Find:AC, if CD =6√2 in. can u put answer and solution

    asked by Allie on February 17, 2017
  3. geometry

    The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal BD . Find the measure of ∠BAD.

    asked by alec taitano on April 9, 2017
  4. geometry

    Given: ΔАВС, m∠ACB = 90° CD⊥AB,m∠ACD =60° BC = 6 cm. Find: АD

    asked by Johnny on December 3, 2017
  5. Trig

    In ΔABC, a = 19, c = 10, and m∠A = 111. Which statement can be used to find the value of C?

    asked by Kiki on March 29, 2014
  6. Geometry

    Find AX in the diagram if CX bisects angle ACB. And then there's a diagram below with triangle ABC, where X is on line C, BC=45, AC=21, and BX=30.

    asked by Henry on April 20, 2017

You can view more similar questions or ask a new question.