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Step-by-step explanation:
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Answer:
Question 18 .A.
By applying Pythagoras theorem in ∆ ABC
(AC)² + (BC)² = (AB)²
(BC)² = (AB)² – (AC)²
(BC)² = (25)² – (7)²
(BC)² = 625 – 49 = 576
BC = 24cm
Question 18 .B.
Let A'CB represents the tree before it broken at the point C and let the top A' touches the ground at A after it broke. Then ΔABC is a right angled triangle, right angled at B.
AB=12m and BC=5m
Using Pythagoras theorem, In ΔABC
(AC)² + (AB)² + (BC)²
⇒(AC)² = (12)² + (5)²
⇒(AC)² = 144 + 25
⇒(AC)² = 169
⇒AC=13m
Hence, the total height of the tree=AC+CB=13+5=18m.
Question 19
To construct: An isosceles triangle PQR whrere PQ=RQ=6.5cm and ∠Q=110°
Steps of construction:
(a) Draw a line segment QR=6.5cm
(b) At point Q, draw an angle of 110°
with the help of protractor, i.e., ∠YQR=110°
(c) Taking Q as centre, draw an arc with radius 6.5cm which cuts QY at point P
(d) Join PR
It is the required isosceles triangle PQR