triangle PQR is an isosceles triangle and its perimeter is 55 cm. Side PQ side PR and
length of base QR is 17 cm. As shown in the figure, a circle touches all the three sides
of the triangle. Find the length of tangent segments drawn to the circle from point
Answers
Given : triangle PQR is an isosceles triangle and it's perimeter is 55 cm
PQ = PR
QR = 17 cm
a circle touches all the three sides of triangle
To Find :the length of tangent segments drawn to the circle from point P.
Step-by-step explanation:
Δ PQR isosceles triangle
PQ = PR
QR = 17 cm
Perimeter = 55
=> PQ + PR + QR = 55
=> PQ + PR + 17 = 55
=> PQ + PR = 38
=> PQ = PR = 19
QR = 17 cm
QR/2 = 17/2 cm
Tangent for Q and R = 17/2 cm
Tangent from P = 19 - 17/2 = 21/2 cm = 10.5 cm
the length of tangent segments drawn to the circle from point P. = 10.5 cm
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