Please help me with those questions
1 answer:
Answer:
5a) 2 sides are equal to each other
5b)
6) 16
Step-by-step explanation:
5b) I'm assuming that in this question you are trying to find the hypotenuse? So you use the pythagorean theorum, which is a^2+b^2=c^2. c represents the hypotenuse, so it would be 10^2+10^2=c^2 because the two sides are equal. Then 100+100=200 and the square root of that is 10\sqrt{2}.
6)a^2+b^2=32^2
since a=b you can write the equation as, 2a^2=1024
a^2=1024/2 , which equals a=\sqrt{512}
and simplify it to 16
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Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
=
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = ≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = =
=
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )