Answer:
The length of the base is
Step-by-step explanation:
Since we know the formula to find the area of a triangle is , we can plug in and solve for b. When we plug into the formula we get:
=
First multiply by 2 on both sides to get rid of the 1/2 on the left. After doing this we get:
Then we can multiply by 5 on both sides to get rid of the 1/5 on the left. After doing this we get out answer:
<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
<u>Explanation</u><u>:</u><u>-</u>
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Answer:
The standard form of the given expression is
Step-by-step explanation:
Here, the given expression is
Now, the Standard Form of the equation is ax + by + c = 0
Solving this, we get:
⇒
or,
⇒
Hence, the standard form of the given expression is
