Find the area of a triangle PQR. If: SinR = 5/8, p = 12cm, q = 17cm.
To find the area of triangle PQR, we can use the formula:
Area = (1/2) * p * q * sin(R)
Given:
Sin(R) = 5/8
p = 12 cm
q = 17 cm
Plugging in the values, we have:
Area = (1/2) * 12 cm * 17 cm * (5/8)
Area = (1/2) * (204 cm^2) * (5/8)
Area = (102 cm^2) * (5/8)
Area = 510 / 8
Area = 63.75 cm^2
Therefore, the area of triangle PQR is 63.75 square centimeters.
To find the area of triangle PQR using the given information, we can use the formula:
Area = (1/2) * p * q * sin(R)
Given values:
SinR = 5/8
p = 12 cm
q = 17 cm
Substituting the values into the formula, we have:
Area = (1/2) * 12 cm * 17 cm * (5/8)
Let's calculate it step by step:
Step 1: Multiply p and q.
p * q = 12 cm * 17 cm = 204 cm²
Step 2: Find the sine of angle R.
SinR = 5/8
Step 3: Multiply the values from Step 1 and Step 2.
(1/2) * 204 cm² * (5/8)
Step 4: Simplify the expression and calculate the result.
Area = (1/2) * 204 cm² * (5/8)
= 102 cm² * (5/8)
= 102 cm² * 5/8
= 510 cm² / 8
= 63.75 cm²
Therefore, the area of triangle PQR is 63.75 square centimeters.