Mathematics, 09.11.2019 23:31 santos200154

Atriangle has side lengths of 9 in, 13 in, and 20 in. what is the measurement of this triangle's largest angle?

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Answer from: sadiyahaaqilah

Measurement of this triangle's largest angle = 129.87°

Step-by-step explanation:

Let a = 9 in, b = 13 in and c = 20 in

We have cosine rule $cosA=\frac{b^2+c^2-a^2}{2bc}$

$cosA=\frac{13^2+20^2-9^2}{2\times 13\times 20}=0.938\\\\A=20.21^0\\\\cosB=\frac{9^2+20^2-13^2}{2\times 9\times 20}=0.867\\\\B=29.93^0\\\\cosC=\frac{9^2+13^2-20^2}{2\times 9\times 13}=-0.641\\\\C=129.87^0\\\\$

Measurement of this triangle's largest angle = 129.87°

Answer from: Quest

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

Which statment best describes the area of the reiangle shown below? it is one-half the area of a rec

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Atriangle has side lengths of 9 in, 13 in, and 20 in. what is the measurement of this triangle's lar...

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